Finding the Third Proportional to 111,897 and 172,872

Step by Step Solution

1. Step 1: Write the proportion equation
   111,897 : 172,872 = 172,872 : x
2. Step 2: Convert to fraction form
   111,897/172,872 = 172,872/x
3. Step 3: Cross multiply
   111,897x = 172,872 × 172,872
4. Step 4: Simplify right side
   111,897x = 29,884,728,384
5. Step 5: Solve for x
   x = 29,884,728,384/111,897
6. Step 6: Final answer
   x = 267,073.54