The governing body of any county may, by adopting an ordinance or order, impose the sports facility maintenance tax, but no ordinance enacted pursuant to the authority granted by the provisions of sections 66.500 to 66.516 shall be effective unless the governing body of the county submits to the voters of the county who reside outside the corporate limits of a city with a population of at least three hundred fifty thousand inhabitants at a general or primary election or at a special election called for that purpose, a proposal to authorize the governing body of the county to impose the sports facility maintenance tax.