Finding the Third Proportional to 204,633 and 419,104.13

Step by Step Solution

1. Step 1: Write the proportion equation
   204,633 : 419,104.13 = 419,104.13 : x
2. Step 2: Convert to fraction form
   204,633/419,104.13 = 419,104.13/x
3. Step 3: Cross multiply
   204,633x = 419,104.13 × 419,104.13
4. Step 4: Simplify right side
   204,633x = 175,648,267,592.02
5. Step 5: Solve for x
   x = 175,648,267,592.02/204,633
6. Step 6: Final answer
   x = 858,357.49