Finding the Third Proportional to 131,824 and 284,384

Step by Step Solution

1. Step 1: Write the proportion equation
   131,824 : 284,384 = 284,384 : x
2. Step 2: Convert to fraction form
   131,824/284,384 = 284,384/x
3. Step 3: Cross multiply
   131,824x = 284,384 × 284,384
4. Step 4: Simplify right side
   131,824x = 80,874,259,456
5. Step 5: Solve for x
   x = 80,874,259,456/131,824
6. Step 6: Final answer
   x = 613,501.79