Finding the Third Proportional to 394,830 and 577,494

Step by Step Solution

1. Step 1: Write the proportion equation
   394,830 : 577,494 = 577,494 : x
2. Step 2: Convert to fraction form
   394,830/577,494 = 577,494/x
3. Step 3: Cross multiply
   394,830x = 577,494 × 577,494
4. Step 4: Simplify right side
   394,830x = 333,499,320,036
5. Step 5: Solve for x
   x = 333,499,320,036/394,830
6. Step 6: Final answer
   x = 844,665.60