The powers of the initiative and referendum reserved to the people by this Constitution for the State at large, are hereby further reserved to the legal voters of every county and district therein, as to all local legislation, or action, in the administration of county and district government in and for their respective counties and districts. The manner of exercising said powers shall be prescribed by general laws, except that Boards of County Commissioners may provide for the time of exercising the initiative and referendum powers as to local legislation in their respective counties and districts.

The requisite number of petitioners for the invocation of the initiative and referendum in counties and districts shall bear twice, or double, the ratio to the whole number of legal voters in such county or district, as herein provided therefor in the State at large.