Finding the Third Proportional to 205,014 and 443,724

Step by Step Solution

1. Step 1: Write the proportion equation
   205,014 : 443,724 = 443,724 : x
2. Step 2: Convert to fraction form
   205,014/443,724 = 443,724/x
3. Step 3: Cross multiply
   205,014x = 443,724 × 443,724
4. Step 4: Simplify right side
   205,014x = 196,890,988,176
5. Step 5: Solve for x
   x = 196,890,988,176/205,014
6. Step 6: Final answer
   x = 960,378.26