Finding the Third Proportional to 204,651 and 315,718.50

Step by Step Solution

1. Step 1: Write the proportion equation
   204,651 : 315,718.50 = 315,718.50 : x
2. Step 2: Convert to fraction form
   204,651/315,718.50 = 315,718.50/x
3. Step 3: Cross multiply
   204,651x = 315,718.50 × 315,718.50
4. Step 4: Simplify right side
   204,651x = 99,678,171,242.25
5. Step 5: Solve for x
   x = 99,678,171,242.25/204,651
6. Step 6: Final answer
   x = 487,064.18