Finding the Third Proportional to 120,096 and 179,472

Step by Step Solution

1. Step 1: Write the proportion equation
   120,096 : 179,472 = 179,472 : x
2. Step 2: Convert to fraction form
   120,096/179,472 = 179,472/x
3. Step 3: Cross multiply
   120,096x = 179,472 × 179,472
4. Step 4: Simplify right side
   120,096x = 32,210,198,784
5. Step 5: Solve for x
   x = 32,210,198,784/120,096
6. Step 6: Final answer
   x = 268,203.76