Finding the Third Proportional to 111,204 and 172,448

Step by Step Solution

1. Step 1: Write the proportion equation
   111,204 : 172,448 = 172,448 : x
2. Step 2: Convert to fraction form
   111,204/172,448 = 172,448/x
3. Step 3: Cross multiply
   111,204x = 172,448 × 172,448
4. Step 4: Simplify right side
   111,204x = 29,738,312,704
5. Step 5: Solve for x
   x = 29,738,312,704/111,204
6. Step 6: Final answer
   x = 267,421.25