Finding the Third Proportional to 131,822 and 284,380

Step by Step Solution

1. Step 1: Write the proportion equation
   131,822 : 284,380 = 284,380 : x
2. Step 2: Convert to fraction form
   131,822/284,380 = 284,380/x
3. Step 3: Cross multiply
   131,822x = 284,380 × 284,380
4. Step 4: Simplify right side
   131,822x = 80,871,984,400
5. Step 5: Solve for x
   x = 80,871,984,400/131,822
6. Step 6: Final answer
   x = 613,493.84