Finding the Third Proportional to 72,414 and 150,282

Step by Step Solution

1. Step 1: Write the proportion equation
   72,414 : 150,282 = 150,282 : x
2. Step 2: Convert to fraction form
   72,414/150,282 = 150,282/x
3. Step 3: Cross multiply
   72,414x = 150,282 × 150,282
4. Step 4: Simplify right side
   72,414x = 22,584,679,524
5. Step 5: Solve for x
   x = 22,584,679,524/72,414
6. Step 6: Final answer
   x = 311,882.78