Finding the Third Proportional to 111,338 and 172,431

Step by Step Solution

1. Step 1: Write the proportion equation
   111,338 : 172,431 = 172,431 : x
2. Step 2: Convert to fraction form
   111,338/172,431 = 172,431/x
3. Step 3: Cross multiply
   111,338x = 172,431 × 172,431
4. Step 4: Simplify right side
   111,338x = 29,732,449,761
5. Step 5: Solve for x
   x = 29,732,449,761/111,338
6. Step 6: Final answer
   x = 267,046.74