The process whose specific outcome is the progression of the metanephric proximal tubule over time, from its formation to the mature structure. The metanephric proximal tubule is a metanephric nephron tubule that connects Bowman's capsule to the descending thin limb of the loop of Henle in the metanephros. It has a brush border epithelial morphology. (Gene Ontology, GO_0072237)