Finding the Third Proportional to 127,656 and 280,680

Step by Step Solution

1. Step 1: Write the proportion equation
   127,656 : 280,680 = 280,680 : x
2. Step 2: Convert to fraction form
   127,656/280,680 = 280,680/x
3. Step 3: Cross multiply
   127,656x = 280,680 × 280,680
4. Step 4: Simplify right side
   127,656x = 78,781,262,400
5. Step 5: Solve for x
   x = 78,781,262,400/127,656
6. Step 6: Final answer
   x = 617,137.17