Finding the Third Proportional to 204,452.50 and 419,103.50

Step by Step Solution

1. Step 1: Write the proportion equation
   204,452.50 : 419,103.50 = 419,103.50 : x
2. Step 2: Convert to fraction form
   204,452.50/419,103.50 = 419,103.50/x
3. Step 3: Cross multiply
   204,452.50x = 419,103.50 × 419,103.50
4. Step 4: Simplify right side
   204,452.50x = 175,647,743,712.25
5. Step 5: Solve for x
   x = 175,647,743,712.25/204,452.50
6. Step 6: Final answer
   x = 859,112.72