Finding the Third Proportional to 127,446 and 280,164

Step by Step Solution

1. Step 1: Write the proportion equation
   127,446 : 280,164 = 280,164 : x
2. Step 2: Convert to fraction form
   127,446/280,164 = 280,164/x
3. Step 3: Cross multiply
   127,446x = 280,164 × 280,164
4. Step 4: Simplify right side
   127,446x = 78,491,866,896
5. Step 5: Solve for x
   x = 78,491,866,896/127,446
6. Step 6: Final answer
   x = 615,883.33