Finding the Third Proportional to 394,412 and 564,013.50

Step by Step Solution

1. Step 1: Write the proportion equation
   394,412 : 564,013.50 = 564,013.50 : x
2. Step 2: Convert to fraction form
   394,412/564,013.50 = 564,013.50/x
3. Step 3: Cross multiply
   394,412x = 564,013.50 × 564,013.50
4. Step 4: Simplify right side
   394,412x = 318,111,228,182.25
5. Step 5: Solve for x
   x = 318,111,228,182.25/394,412
6. Step 6: Final answer
   x = 806,545.51