Finding the Third Proportional to 111,366 and 172,707

Step by Step Solution

1. Step 1: Write the proportion equation
   111,366 : 172,707 = 172,707 : x
2. Step 2: Convert to fraction form
   111,366/172,707 = 172,707/x
3. Step 3: Cross multiply
   111,366x = 172,707 × 172,707
4. Step 4: Simplify right side
   111,366x = 29,827,707,849
5. Step 5: Solve for x
   x = 29,827,707,849/111,366
6. Step 6: Final answer
   x = 267,834.96