Finding the Third Proportional to 204,096 and 447,648

Step by Step Solution

1. Step 1: Write the proportion equation
   204,096 : 447,648 = 447,648 : x
2. Step 2: Convert to fraction form
   204,096/447,648 = 447,648/x
3. Step 3: Cross multiply
   204,096x = 447,648 × 447,648
4. Step 4: Simplify right side
   204,096x = 200,388,731,904
5. Step 5: Solve for x
   x = 200,388,731,904/204,096
6. Step 6: Final answer
   x = 981,835.67