Finding the Third Proportional to 137,537,256 and 205,761,268.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,537,256 : 205,761,268.50 = 205,761,268.50 : x
2. Step 2: Convert to fraction form
   137,537,256/205,761,268.50 = 205,761,268.50/x
3. Step 3: Cross multiply
   137,537,256x = 205,761,268.50 × 205,761,268.50
4. Step 4: Simplify right side
   137,537,256x = 42,337,699,614,729,096
5. Step 5: Solve for x
   x = 42,337,699,614,729,096/137,537,256
6. Step 6: Final answer
   x = 307,827,136.05