Finding the Third Proportional to 105,096 and 225,744

Step by Step Solution

1. Step 1: Write the proportion equation
   105,096 : 225,744 = 225,744 : x
2. Step 2: Convert to fraction form
   105,096/225,744 = 225,744/x
3. Step 3: Cross multiply
   105,096x = 225,744 × 225,744
4. Step 4: Simplify right side
   105,096x = 50,960,353,536
5. Step 5: Solve for x
   x = 50,960,353,536/105,096
6. Step 6: Final answer
   x = 484,893.37