Finding the Third Proportional to 111,384 and 172,624

Step by Step Solution

1. Step 1: Write the proportion equation
   111,384 : 172,624 = 172,624 : x
2. Step 2: Convert to fraction form
   111,384/172,624 = 172,624/x
3. Step 3: Cross multiply
   111,384x = 172,624 × 172,624
4. Step 4: Simplify right side
   111,384x = 29,799,045,376
5. Step 5: Solve for x
   x = 29,799,045,376/111,384
6. Step 6: Final answer
   x = 267,534.34