Finding the Third Proportional to 522,458 and 781,662

Step by Step Solution

1. Step 1: Write the proportion equation
   522,458 : 781,662 = 781,662 : x
2. Step 2: Convert to fraction form
   522,458/781,662 = 781,662/x
3. Step 3: Cross multiply
   522,458x = 781,662 × 781,662
4. Step 4: Simplify right side
   522,458x = 610,995,482,244
5. Step 5: Solve for x
   x = 610,995,482,244/522,458
6. Step 6: Final answer
   x = 1,169,463.35