Unless such proposed amendment, supplement or change has been approved by the planning and zoning commission, or if a protest against such amendment, supplement or change has been duly filed with the city secretary, duly signed and acknowledged by the owners of twenty (20) percent or more of the area of the lot included in such proposed change or within two hundred (200) feet from any point of the proposed change in any direction, such amendment shall not become effective except by a three-fourths (¾) vote of the city council.