The company of citizens of the United States who have acquired from the State of Nicaragua the privilege of constructing a ship canal between the two oceans through the territory of that State have made progress in their preliminary arrangements. The treaty between the United States and Great Britain of the 19th of April last, above referred to, being now in operation, it is to be hoped that the guaranties which it offers will be sufficient to secure the completion of the work with all practicable expedition. It is obvious that this result would be indefinitely postponed if any other than peaceful measures for the purpose of harmonizing conflicting claims to territory in that quarter should be adopted. It will consequently be my endeavor to cause any further negotiations on the part of this Government which may be requisite for this purpose to be so conducted as to bring them to a speedy and successful close. Some unavoidable delay has occurred, arising from distance and the difficulty of intercourse between this Government and that of Nicaragua, but as intelligence has just been received of the appointment of an envoy extraordinary and minister plenipotentiary of that Government to reside at Washington, whose arrival may soon be expected, it is hoped that no further impediments will be experienced in the prompt transaction of business between the two Governments. Citizens of the United States have undertaken the connection of the two oceans by means of a railroad across the Isthmus of Tehuantepec, under grants of the Mexican Government to a citizen of that Republic. It is understood that a thorough survey of the course of the communication is in preparation, and there is every reason to expect that it will be prosecuted with characteristic energy, especially when that Government shall have consented to such stipulations with the Government of the United States as may be necessary to impart a feeling of security to those who may embark their property in the enterprise. Negotiations are pending for the accomplishment of that object, and a hope is confidently entertained that when the Government of Mexico shall become duly sensible of the advantages which that country can not fail to derive from the work, and learn that the Government of the United States desires that the right of sovereignty of Mexico in the Isthmus shall remain unimpaired, the stipulations referred to will be agreed to with alacrity. By the last advices from Mexico it would appear, however, that that Government entertains strong objections to some of the stipulations which the parties concerned in the project of the railroad deem necessary for their protection and security. Further consideration, it is to be hoped, or some modification of terms, may yet reconcile the differences existing between the two Governments in this respect.