Finding the Third Proportional to 199,566 and 315,949.50

Step by Step Solution

1. Step 1: Write the proportion equation
   199,566 : 315,949.50 = 315,949.50 : x
2. Step 2: Convert to fraction form
   199,566/315,949.50 = 315,949.50/x
3. Step 3: Cross multiply
   199,566x = 315,949.50 × 315,949.50
4. Step 4: Simplify right side
   199,566x = 99,824,086,550.25
5. Step 5: Solve for x
   x = 99,824,086,550.25/199,566
6. Step 6: Final answer
   x = 500,205.88