Finding the Third Proportional to 509,494 and 1,079,676

Step by Step Solution

1. Step 1: Write the proportion equation
   509,494 : 1,079,676 = 1,079,676 : x
2. Step 2: Convert to fraction form
   509,494/1,079,676 = 1,079,676/x
3. Step 3: Cross multiply
   509,494x = 1,079,676 × 1,079,676
4. Step 4: Simplify right side
   509,494x = 1,165,700,264,976
5. Step 5: Solve for x
   x = 1,165,700,264,976/509,494
6. Step 6: Final answer
   x = 2,287,956.81