Finding the Third Proportional to 131,664 and 280,824

Step by Step Solution

1. Step 1: Write the proportion equation
   131,664 : 280,824 = 280,824 : x
2. Step 2: Convert to fraction form
   131,664/280,824 = 280,824/x
3. Step 3: Cross multiply
   131,664x = 280,824 × 280,824
4. Step 4: Simplify right side
   131,664x = 78,862,118,976
5. Step 5: Solve for x
   x = 78,862,118,976/131,664
6. Step 6: Final answer
   x = 598,964.93