Conditional zoning. As part of the petition to rezone property in the Residential-1, Residential-2, Business-1, Business-2, Rural, Industrial and Conservation Districts and amend the Official Zoning Map, the property owner(s) may include a voluntary proffering in writing placing certain conditions and restrictions on the use and development of said property, and the administration shall be vested with all necessary authority to administer and enforce such conditions and restrictions, all in accordance with §§ 15.2-2296 through 15.2-2302 of the Code of Virginia, 1950, as amended. The County of Mathews, having met the prerequisites set out in § 15.2-2298, the proffered conditions may include, but are not limited to, substantial cash payments and the dedication of real property of substantial value pursuant to the aforesaid code section. All proffers accepted pursuant to § 15.2-2298 are subject to the terms and conditions of said code section of the Code of Virginia of 1950, as amended. Before any proffered conditions or restrictions shall be accepted and become a part of the rezoning, the governing body shall hold a public hearing in accordance with § 15.2-2204 of the Code of Virginia, 1950, as amended.