If on or before July 15 of any year in which such referendum is provided for by law a petition signed by 200 or more qualified voters of the county is filed with the circuit court of the county asking that a referendum be held on any question upon which a referendum is provided for by any applicable statute, then such court shall on or before August 1 of such year issue and enter of record an order requiring the county election officials to open the polls at the regular election to be held in November of such year on the question stated in such statute. If the statute providing for such referendum shall authorize or require the referendum to be held at a special election, then the petition hereinabove referred to shall be signed by 1,000 or more voters of the county and the court shall within fifteen days of the date such petition is filed enter an order requiring the election officials to open the polls and take the sense of the voters of the county on a date fixed in his order, which shall be in accordance with § 24.2-682. The clerk of the county shall cause a notice of such election to be published three times in a newspaper published or having general circulation in the county, with the first notice appearing no more than 35 days before and the third notice appearing no less than seven days before the date on which the referendum is held, and shall post a copy of the notice at the door of the county courthouse.