Finding the Third Proportional to 172,540 and 275,454

Step by Step Solution

1. Step 1: Write the proportion equation
   172,540 : 275,454 = 275,454 : x
2. Step 2: Convert to fraction form
   172,540/275,454 = 275,454/x
3. Step 3: Cross multiply
   172,540x = 275,454 × 275,454
4. Step 4: Simplify right side
   172,540x = 75,874,906,116
5. Step 5: Solve for x
   x = 75,874,906,116/172,540
6. Step 6: Final answer
   x = 439,752.56