Following the defeat of Napoleon III in the Franco-Prussian War, France once again became a republic – the French Third Republic – in 1870. The President of the Third Republic had significantly less executive powers than those of the previous two republics had.
After Napoleon III was defeated in the Franco-Prussian War, France returned to being a republic, this time called the Third Republic.  The president of this new republic had much less power than the presidents of the previous two republics.