Finding the Third Proportional to 394,902 and 564,319.50

Step by Step Solution

1. Step 1: Write the proportion equation
   394,902 : 564,319.50 = 564,319.50 : x
2. Step 2: Convert to fraction form
   394,902/564,319.50 = 564,319.50/x
3. Step 3: Cross multiply
   394,902x = 564,319.50 × 564,319.50
4. Step 4: Simplify right side
   394,902x = 318,456,498,080.25
5. Step 5: Solve for x
   x = 318,456,498,080.25/394,902
6. Step 6: Final answer
   x = 806,419.06