Finding the Third Proportional to 509,489 and 1,079,665

Step by Step Solution

1. Step 1: Write the proportion equation
   509,489 : 1,079,665 = 1,079,665 : x
2. Step 2: Convert to fraction form
   509,489/1,079,665 = 1,079,665/x
3. Step 3: Cross multiply
   509,489x = 1,079,665 × 1,079,665
4. Step 4: Simplify right side
   509,489x = 1,165,676,512,225
5. Step 5: Solve for x
   x = 1,165,676,512,225/509,489
6. Step 6: Final answer
   x = 2,287,932.64