Finding the Third Proportional to 494,517 and 765,105

Step by Step Solution

1. Step 1: Write the proportion equation
   494,517 : 765,105 = 765,105 : x
2. Step 2: Convert to fraction form
   494,517/765,105 = 765,105/x
3. Step 3: Cross multiply
   494,517x = 765,105 × 765,105
4. Step 4: Simplify right side
   494,517x = 585,385,661,025
5. Step 5: Solve for x
   x = 585,385,661,025/494,517
6. Step 6: Final answer
   x = 1,183,752.35