Finding the Third Proportional to 204,500 and 315,870

Step by Step Solution

1. Step 1: Write the proportion equation
   204,500 : 315,870 = 315,870 : x
2. Step 2: Convert to fraction form
   204,500/315,870 = 315,870/x
3. Step 3: Cross multiply
   204,500x = 315,870 × 315,870
4. Step 4: Simplify right side
   204,500x = 99,773,856,900
5. Step 5: Solve for x
   x = 99,773,856,900/204,500
6. Step 6: Final answer
   x = 487,891.72