Finding the Third Proportional to 72,576 and 108,864

Step by Step Solution

1. Step 1: Write the proportion equation
   72,576 : 108,864 = 108,864 : x
2. Step 2: Convert to fraction form
   72,576/108,864 = 108,864/x
3. Step 3: Cross multiply
   72,576x = 108,864 × 108,864
4. Step 4: Simplify right side
   72,576x = 11,851,370,496
5. Step 5: Solve for x
   x = 11,851,370,496/72,576
6. Step 6: Final answer
   x = 163,296