Finding the Third Proportional to 205,013.75 and 443,723.50

Step by Step Solution

1. Step 1: Write the proportion equation
   205,013.75 : 443,723.50 = 443,723.50 : x
2. Step 2: Convert to fraction form
   205,013.75/443,723.50 = 443,723.50/x
3. Step 3: Cross multiply
   205,013.75x = 443,723.50 × 443,723.50
4. Step 4: Simplify right side
   205,013.75x = 196,890,544,452.25
5. Step 5: Solve for x
   x = 196,890,544,452.25/205,013.75
6. Step 6: Final answer
   x = 960,377.26