Finding the Third Proportional to 204,455 and 419,113.50

Step by Step Solution

1. Step 1: Write the proportion equation
   204,455 : 419,113.50 = 419,113.50 : x
2. Step 2: Convert to fraction form
   204,455/419,113.50 = 419,113.50/x
3. Step 3: Cross multiply
   204,455x = 419,113.50 × 419,113.50
4. Step 4: Simplify right side
   204,455x = 175,656,125,882.25
5. Step 5: Solve for x
   x = 175,656,125,882.25/204,455
6. Step 6: Final answer
   x = 859,143.21