As the second part of an effort to introduce a computer-extended series solution into the field of solid mechanics, von Karman's nonlinear plate equations are solved for central-point loading of a circular plate by expanding the solution in powers of the maximum deflection W m to 60 terms. The series solution is analysed using the recent technique of differential approximants together with more conventional methods. Convergence is found to be limited by a non-physical square-root singularity located on the negative axis of W 2 m . Mapping that singularity away to infinity extends the radius of convergence to infinity. Extracting the asymptotic solution for extremely large deflection gives the membrane limit which agrees with the closed-form solution.