Finding the Third Proportional to 111,656 and 172,695

Step by Step Solution

1. Step 1: Write the proportion equation
   111,656 : 172,695 = 172,695 : x
2. Step 2: Convert to fraction form
   111,656/172,695 = 172,695/x
3. Step 3: Cross multiply
   111,656x = 172,695 × 172,695
4. Step 4: Simplify right side
   111,656x = 29,823,563,025
5. Step 5: Solve for x
   x = 29,823,563,025/111,656
6. Step 6: Final answer
   x = 267,102.20