Finding the Third Proportional to 111,268 and 172,522

Step by Step Solution

1. Step 1: Write the proportion equation
   111,268 : 172,522 = 172,522 : x
2. Step 2: Convert to fraction form
   111,268/172,522 = 172,522/x
3. Step 3: Cross multiply
   111,268x = 172,522 × 172,522
4. Step 4: Simplify right side
   111,268x = 29,763,840,484
5. Step 5: Solve for x
   x = 29,763,840,484/111,268
6. Step 6: Final answer
   x = 267,496.86