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Currently, the problem size that can be solved by the method of moments (MoM) is limited by the amount of RAM installed on the computer. To reduce number of unknowns for MoM, a higher order polynomial function is introduced in this paper as the basis function. To further extend the capability of the MoM code, this paper also describes a newly developed out-of-core solver based on PLAPACK which breaks the memory constraint while maintaining the efficiency of in-core implementation. Results on a representative computer platform for a challenge electromagnetic problem show that the out-of-core solver introduced is an efficient way to deal with a large matrix equation. The implementation of these advancements creates a powerful tool for efficient computational electromagnetic solution of large and complex real world problems.