Finding the Third Proportional to 111,324 and 172,398

Step by Step Solution

1. Step 1: Write the proportion equation
   111,324 : 172,398 = 172,398 : x
2. Step 2: Convert to fraction form
   111,324/172,398 = 172,398/x
3. Step 3: Cross multiply
   111,324x = 172,398 × 172,398
4. Step 4: Simplify right side
   111,324x = 29,721,070,404
5. Step 5: Solve for x
   x = 29,721,070,404/111,324
6. Step 6: Final answer
   x = 266,978.10