Finding the Third Proportional to 111,288 and 172,464

Step by Step Solution

1. Step 1: Write the proportion equation
   111,288 : 172,464 = 172,464 : x
2. Step 2: Convert to fraction form
   111,288/172,464 = 172,464/x
3. Step 3: Cross multiply
   111,288x = 172,464 × 172,464
4. Step 4: Simplify right side
   111,288x = 29,743,831,296
5. Step 5: Solve for x
   x = 29,743,831,296/111,288
6. Step 6: Final answer
   x = 267,268.99