Finding the Third Proportional to 111,336 and 172,414

Step by Step Solution

1. Step 1: Write the proportion equation
   111,336 : 172,414 = 172,414 : x
2. Step 2: Convert to fraction form
   111,336/172,414 = 172,414/x
3. Step 3: Cross multiply
   111,336x = 172,414 × 172,414
4. Step 4: Simplify right side
   111,336x = 29,726,587,396
5. Step 5: Solve for x
   x = 29,726,587,396/111,336
6. Step 6: Final answer
   x = 266,998.88