Finding the Third Proportional to 172,414 and 268,219.50

Step by Step Solution

1. Step 1: Write the proportion equation
   172,414 : 268,219.50 = 268,219.50 : x
2. Step 2: Convert to fraction form
   172,414/268,219.50 = 268,219.50/x
3. Step 3: Cross multiply
   172,414x = 268,219.50 × 268,219.50
4. Step 4: Simplify right side
   172,414x = 71,941,700,180.25
5. Step 5: Solve for x
   x = 71,941,700,180.25/172,414
6. Step 6: Final answer
   x = 417,261.36