Finding the Third Proportional to 509,488 and 1,079,664

Step by Step Solution

1. Step 1: Write the proportion equation
   509,488 : 1,079,664 = 1,079,664 : x
2. Step 2: Convert to fraction form
   509,488/1,079,664 = 1,079,664/x
3. Step 3: Cross multiply
   509,488x = 1,079,664 × 1,079,664
4. Step 4: Simplify right side
   509,488x = 1,165,674,352,896
5. Step 5: Solve for x
   x = 1,165,674,352,896/509,488
6. Step 6: Final answer
   x = 2,287,932.89