If your president and vice president resigned would would be your next president?

Next in line is the Speaker of the House of Representatives. However, in actual practice if some scandal made both president and Veep want to resign, the Veep would resign first and a new veep would be appointed. Then the president would quit and the new Veep would become president. The only likely way the House Speaker would become president would be for the President and vice-president to both die suddenly at the same time or nearly the same time.