Finding the Third Proportional to 394,992 and 564,448.50

Step by Step Solution

1. Step 1: Write the proportion equation
   394,992 : 564,448.50 = 564,448.50 : x
2. Step 2: Convert to fraction form
   394,992/564,448.50 = 564,448.50/x
3. Step 3: Cross multiply
   394,992x = 564,448.50 × 564,448.50
4. Step 4: Simplify right side
   394,992x = 318,602,109,152.25
5. Step 5: Solve for x
   x = 318,602,109,152.25/394,992
6. Step 6: Final answer
   x = 806,603.95