Finding the Third Proportional to 111,428 and 172,614

Step by Step Solution

1. Step 1: Write the proportion equation
   111,428 : 172,614 = 172,614 : x
2. Step 2: Convert to fraction form
   111,428/172,614 = 172,614/x
3. Step 3: Cross multiply
   111,428x = 172,614 × 172,614
4. Step 4: Simplify right side
   111,428x = 29,795,592,996
5. Step 5: Solve for x
   x = 29,795,592,996/111,428
6. Step 6: Final answer
   x = 267,397.72