Finding the Third Proportional to 111,384 and 172,732

Step by Step Solution

1. Step 1: Write the proportion equation
   111,384 : 172,732 = 172,732 : x
2. Step 2: Convert to fraction form
   111,384/172,732 = 172,732/x
3. Step 3: Cross multiply
   111,384x = 172,732 × 172,732
4. Step 4: Simplify right side
   111,384x = 29,836,343,824
5. Step 5: Solve for x
   x = 29,836,343,824/111,384
6. Step 6: Final answer
   x = 267,869.21