Finding the Third Proportional to 140,083.50 and 188,732.25

Step by Step Solution

1. Step 1: Write the proportion equation
   140,083.50 : 188,732.25 = 188,732.25 : x
2. Step 2: Convert to fraction form
   140,083.50/188,732.25 = 188,732.25/x
3. Step 3: Cross multiply
   140,083.50x = 188,732.25 × 188,732.25
4. Step 4: Simplify right side
   140,083.50x = 35,619,862,190.06
5. Step 5: Solve for x
   x = 35,619,862,190.06/140,083.50
6. Step 6: Final answer
   x = 254,275.93