If a proposal to form a district pursuant to the provisions of sections 162.171 to 162.191, 162.211 and 162.221, or section 162.223 receives the required majority of the votes cast on the proposition, the state board of education or the county commission, in the case of a district formed pursuant to the provisions of sections 162.171 to 162.191 or 162.211 and 162.221, shall order an election in the district to be held. This election shall be for the purpose of electing seven members to serve on the school board of the district. Such election shall be held on the next election day as provided under section 115.123. The election shall be conducted in the manner provided by section 162.371^*. A letter from the commissioner of education, delivered by certified mail to the presiding commissioner of the county commission of the county to which the district formed by provisions of section 162.223 is assigned shall be the authority for the county commission to proceed with election procedures in the same manner as they would be performed by the district board of education were it in existence; but the costs of the election shall be paid from the incidental fund of the new district. Two directors shall be elected to serve until the next municipal election, two to serve until the second municipal election, and two to serve until the third municipal election. The seventh board member shall be elected to serve until the municipal election during which the majority of school districts elect three board members.