Finding the Third Proportional to 498,978 and 781,849

Step by Step Solution

1. Step 1: Write the proportion equation
   498,978 : 781,849 = 781,849 : x
2. Step 2: Convert to fraction form
   498,978/781,849 = 781,849/x
3. Step 3: Cross multiply
   498,978x = 781,849 × 781,849
4. Step 4: Simplify right side
   498,978x = 611,287,858,801
5. Step 5: Solve for x
   x = 611,287,858,801/498,978
6. Step 6: Final answer
   x = 1,225,079.78