Finding the Third Proportional to 359,517 and 783,384

Step by Step Solution

1. Step 1: Write the proportion equation
   359,517 : 783,384 = 783,384 : x
2. Step 2: Convert to fraction form
   359,517/783,384 = 783,384/x
3. Step 3: Cross multiply
   359,517x = 783,384 × 783,384
4. Step 4: Simplify right side
   359,517x = 613,690,491,456
5. Step 5: Solve for x
   x = 613,690,491,456/359,517
6. Step 6: Final answer
   x = 1,706,986.02