>The United States Constitution requires that Presidents (and Vice Presidents) of the United States be natural born citizens of the United States.<
And what about the Speaker of the House being third in line for the presidency?
The Speaker (and for that matter, any of the others in the line of succession - the President pro tem of the Senate and Cabinet secretaries) are not required to be natural born citizens, but in the even it is necessary, the line of succession would skip them and go to the next qualified person.
The Vice President must meet all the same constitutional requirements as the President - others in the ‘line of succession’ do not have to, but could not become President themselves.
There is no special provision. The speaker of the house falls under Article I as all other Congressmen.