Finding the Third Proportional to 144,576 and 216,096

Step by Step Solution

1. Step 1: Write the proportion equation
   144,576 : 216,096 = 216,096 : x
2. Step 2: Convert to fraction form
   144,576/216,096 = 216,096/x
3. Step 3: Cross multiply
   144,576x = 216,096 × 216,096
4. Step 4: Simplify right side
   144,576x = 46,697,481,216
5. Step 5: Solve for x
   x = 46,697,481,216/144,576
6. Step 6: Final answer
   x = 322,996.08