All of the property and facilities of any existing junior college located outside of the boundaries of the county owning and operating the same shall be and the same are hereby transferred to and vested in the board of trustees of the junior college district in which said county owning and operating said junior college is situated, and the board of trustees of said junior college district is authorized to continue the operation of said college under such terms and conditions as such board may deem necessary and requisite. The governing authorities of other counties and municipalities lying outside of such junior college district are authorized and empowered, in the discretion of their governing bodies, to levy taxes and to appropriate funds for the support of such junior college.