Nash constructio Comapany began work on a $$419,500$ construction contract in $2020.$ During $2020,$ Nash incurredd Costs of $$282,500,$ billed its customer for $$232,500,$ and collected $$181,000.$ At December $31,2020,$ the estimated additional costs to complete the p$[$roject total $$164,140.$

Prapare Nash's journal entry to record profit or loss, if any, using $($a$)$ the percentage$-$of$-$completion method and $($b$)$ the completed$-$contract method.