Finding the Third Proportional to 127,766 and 280,644

Step by Step Solution

1. Step 1: Write the proportion equation
   127,766 : 280,644 = 280,644 : x
2. Step 2: Convert to fraction form
   127,766/280,644 = 280,644/x
3. Step 3: Cross multiply
   127,766x = 280,644 × 280,644
4. Step 4: Simplify right side
   127,766x = 78,761,054,736
5. Step 5: Solve for x
   x = 78,761,054,736/127,766
6. Step 6: Final answer
   x = 616,447.68