Finding the Third Proportional to 144,096 and 215,568

Step by Step Solution

1. Step 1: Write the proportion equation
   144,096 : 215,568 = 215,568 : x
2. Step 2: Convert to fraction form
   144,096/215,568 = 215,568/x
3. Step 3: Cross multiply
   144,096x = 215,568 × 215,568
4. Step 4: Simplify right side
   144,096x = 46,469,562,624
5. Step 5: Solve for x
   x = 46,469,562,624/144,096
6. Step 6: Final answer
   x = 322,490.30