A contractor bought a stone crusher from a vendor in Tulkarem. The vendor agreed with the contractor to have $100,000$ dollars now and $2500$ dollars per year for $12$ years. The first annual payment starts at the end of the third year. The interest rate is $6\%$ annually. The future worth of the stone crusher equals:

Select one:

a$.$ $$249,682\mathrm{.}56$

b$.$ $$294,084\mathrm{.}58$

c$.$ $$294,682\mathrm{.}56$

d$.$ $$234,171\mathrm{.}63$