Answer:
cost of land record = $206550
Explanation:
given data 
market value of the land = $320000
market value of the building  = $470000
acquired both land and building = $510000
to find out
amount should the corporation record the cost of land
solution
first we find market value to total assets that is 
market value to total assets = market value of the land + market value of the building ......................1
put here value 
market value to total assets = $320000 + $470000
market value to total assets = $790000
and 
share of land in the total market that is 
share of land in the total market =  .......................2
   .......................2
put here value 
share of land in the total market = 
share of land in the total market = 40.50 %
and
cost of land record = share of land in the total market × acquired both land and building    .......................3
put here value 
cost of land record = $510000 × 40.50%
cost of land record = $206550