In its order for the election the board of supervisors shall direct the county commissioner of elections of the county in which the petition is filed to cause notice of the election to be given at least thirty days before the date of election by publication of the notice as provided in section 331.305. The notice shall state the time and place of holding the election and the hours when the polls will open and close, the purpose of the election, with the name of the proposed sanitary district and a description of the boundaries of it, and shall set forth briefly the limits of each voting precinct and the location of the polling places. Proof of publication shall be made in the manner provided in section 358.4 and filed with the county auditor.