Finding the Third Proportional to 204,496 and 315,864

Step by Step Solution

1. Step 1: Write the proportion equation
   204,496 : 315,864 = 315,864 : x
2. Step 2: Convert to fraction form
   204,496/315,864 = 315,864/x
3. Step 3: Cross multiply
   204,496x = 315,864 × 315,864
4. Step 4: Simplify right side
   204,496x = 99,770,066,496
5. Step 5: Solve for x
   x = 99,770,066,496/204,496
6. Step 6: Final answer
   x = 487,882.73