Finding the Third Proportional to 111,399 and 172,577

Step by Step Solution

1. Step 1: Write the proportion equation
   111,399 : 172,577 = 172,577 : x
2. Step 2: Convert to fraction form
   111,399/172,577 = 172,577/x
3. Step 3: Cross multiply
   111,399x = 172,577 × 172,577
4. Step 4: Simplify right side
   111,399x = 29,782,820,929
5. Step 5: Solve for x
   x = 29,782,820,929/111,399
6. Step 6: Final answer
   x = 267,352.68