Finding the Third Proportional to 204,096 and 443,220

Step by Step Solution

1. Step 1: Write the proportion equation
   204,096 : 443,220 = 443,220 : x
2. Step 2: Convert to fraction form
   204,096/443,220 = 443,220/x
3. Step 3: Cross multiply
   204,096x = 443,220 × 443,220
4. Step 4: Simplify right side
   204,096x = 196,443,968,400
5. Step 5: Solve for x
   x = 196,443,968,400/204,096
6. Step 6: Final answer
   x = 962,507.68