Finding the Third Proportional to 172,540 and 231,877.50

Step by Step Solution

1. Step 1: Write the proportion equation
   172,540 : 231,877.50 = 231,877.50 : x
2. Step 2: Convert to fraction form
   172,540/231,877.50 = 231,877.50/x
3. Step 3: Cross multiply
   172,540x = 231,877.50 × 231,877.50
4. Step 4: Simplify right side
   172,540x = 53,767,175,006.25
5. Step 5: Solve for x
   x = 53,767,175,006.25/172,540
6. Step 6: Final answer
   x = 311,621.51