Where a petition for a special district proposes a district whose boundaries do not coincide with county boundaries at all points, the petition shall be reviewed and approved by the state board of education before submission to the voters. In addition to the petition, a feasibility study shall be presented to the state board of education. The study shall include and the state board shall consider the proposed district’s feasibility as to need, financial adequacy, number of students, other available services in the vicinity, and the needs of surrounding districts not included. Where the proposed district has a population in excess of one hundred thousand, there shall be presented to the state board of education a plan for dividing the area of the proposed special district into six election districts of equal population taking into account, insofar as possible, the existing school district boundary lines. Upon approval by the state board of education or, if no action is taken by the state board of education, after the expiration of sixty days from the date the petition is received by the state board of education, the state board of education shall direct the board of directors of each school district comprising the proposed special district to cause the proposal to be submitted to the voters in each district in accordance with section 162.825.