John and Landry are partners who share income and losses in the ratio of $3$:$2,$ respectively. On August $31,$ their capital balances were: John, $$148000$ and Landry, $$123000.$ On that date, they agree to admit Neumark as a partner with a one$-$third capital interest. If Neumark invests $$104000$ in the partnership, what is John$$s capital balance after Neumark$$s admittance?

Select answer from the options below

$$131667$

$$148000$

$$135400$

$$125000$