Finding the Third Proportional to 394,296 and 557,920.50

Step by Step Solution

1. Step 1: Write the proportion equation
   394,296 : 557,920.50 = 557,920.50 : x
2. Step 2: Convert to fraction form
   394,296/557,920.50 = 557,920.50/x
3. Step 3: Cross multiply
   394,296x = 557,920.50 × 557,920.50
4. Step 4: Simplify right side
   394,296x = 311,275,284,320.25
5. Step 5: Solve for x
   x = 311,275,284,320.25/394,296
6. Step 6: Final answer
   x = 789,445.71