Finding the Third Proportional to 137,982.50 and 202,431

Step by Step Solution

1. Step 1: Write the proportion equation
   137,982.50 : 202,431 = 202,431 : x
2. Step 2: Convert to fraction form
   137,982.50/202,431 = 202,431/x
3. Step 3: Cross multiply
   137,982.50x = 202,431 × 202,431
4. Step 4: Simplify right side
   137,982.50x = 40,978,309,761
5. Step 5: Solve for x
   x = 40,978,309,761/137,982.50
6. Step 6: Final answer
   x = 296,981.93