Finding the Third Proportional to 204,831 and 419,500

Step by Step Solution

1. Step 1: Write the proportion equation
   204,831 : 419,500 = 419,500 : x
2. Step 2: Convert to fraction form
   204,831/419,500 = 419,500/x
3. Step 3: Cross multiply
   204,831x = 419,500 × 419,500
4. Step 4: Simplify right side
   204,831x = 175,980,250,000
5. Step 5: Solve for x
   x = 175,980,250,000/204,831
6. Step 6: Final answer
   x = 859,148.52