Finding the Third Proportional to 122,496 and 172,488

Step by Step Solution

1. Step 1: Write the proportion equation
   122,496 : 172,488 = 172,488 : x
2. Step 2: Convert to fraction form
   122,496/172,488 = 172,488/x
3. Step 3: Cross multiply
   122,496x = 172,488 × 172,488
4. Step 4: Simplify right side
   122,496x = 29,752,110,144
5. Step 5: Solve for x
   x = 29,752,110,144/122,496
6. Step 6: Final answer
   x = 242,882.30