Finding the Third Proportional to 122,500 and 172,494

Step by Step Solution

1. Step 1: Write the proportion equation
   122,500 : 172,494 = 172,494 : x
2. Step 2: Convert to fraction form
   122,500/172,494 = 172,494/x
3. Step 3: Cross multiply
   122,500x = 172,494 × 172,494
4. Step 4: Simplify right side
   122,500x = 29,754,180,036
5. Step 5: Solve for x
   x = 29,754,180,036/122,500
6. Step 6: Final answer
   x = 242,891.27