Finding the Third Proportional to 509,496 and 1,079,680

Step by Step Solution

1. Step 1: Write the proportion equation
   509,496 : 1,079,680 = 1,079,680 : x
2. Step 2: Convert to fraction form
   509,496/1,079,680 = 1,079,680/x
3. Step 3: Cross multiply
   509,496x = 1,079,680 × 1,079,680
4. Step 4: Simplify right side
   509,496x = 1,165,708,902,400
5. Step 5: Solve for x
   x = 1,165,708,902,400/509,496
6. Step 6: Final answer
   x = 2,287,964.78