Finding the Third Proportional to 204,499 and 315,868.50

Step by Step Solution

1. Step 1: Write the proportion equation
   204,499 : 315,868.50 = 315,868.50 : x
2. Step 2: Convert to fraction form
   204,499/315,868.50 = 315,868.50/x
3. Step 3: Cross multiply
   204,499x = 315,868.50 × 315,868.50
4. Step 4: Simplify right side
   204,499x = 99,772,909,292.25
5. Step 5: Solve for x
   x = 99,772,909,292.25/204,499
6. Step 6: Final answer
   x = 487,889.47