Finding the Third Proportional to 131,776 and 280,256

Step by Step Solution

1. Step 1: Write the proportion equation
   131,776 : 280,256 = 280,256 : x
2. Step 2: Convert to fraction form
   131,776/280,256 = 280,256/x
3. Step 3: Cross multiply
   131,776x = 280,256 × 280,256
4. Step 4: Simplify right side
   131,776x = 78,543,425,536
5. Step 5: Solve for x
   x = 78,543,425,536/131,776
6. Step 6: Final answer
   x = 596,037.41