A county, town, city or village acting under its powers and in conformity with state law may enter into an agreement with an agency of the federal government to cooperate in the construction, operation or maintenance of any federally authorized rivers, harbors or water resources management or control project or to assume any potential liability appurtenant to a project and may do all things necessary to consummate the agreement. If a project will affect more than one municipality, the municipalities affected may jointly enter into an agreement under this section with an agency of the federal government carrying any terms and provisions concerning the division of costs and responsibilities that are mutually agreed upon. The affected municipalities may by agreement submit any determinations of the division of construction costs, responsibilities, or any other liabilities among them to an arbitration board. The determination of the arbitration board shall be final. This section shall not be construed as a grant or delegation of power or authority to any county, town, city, village or other local municipality to do any work in or place any structures in or on any navigable water except as it is otherwise expressly authorized by state law to do.