Finding the Third Proportional to 111,354 and 172,689

Step by Step Solution

1. Step 1: Write the proportion equation
   111,354 : 172,689 = 172,689 : x
2. Step 2: Convert to fraction form
   111,354/172,689 = 172,689/x
3. Step 3: Cross multiply
   111,354x = 172,689 × 172,689
4. Step 4: Simplify right side
   111,354x = 29,821,490,721
5. Step 5: Solve for x
   x = 29,821,490,721/111,354
6. Step 6: Final answer
   x = 267,807.99