Finding the Third Proportional to 80,096 and 120,144

Step by Step Solution

1. Step 1: Write the proportion equation
   80,096 : 120,144 = 120,144 : x
2. Step 2: Convert to fraction form
   80,096/120,144 = 120,144/x
3. Step 3: Cross multiply
   80,096x = 120,144 × 120,144
4. Step 4: Simplify right side
   80,096x = 14,434,580,736
5. Step 5: Solve for x
   x = 14,434,580,736/80,096
6. Step 6: Final answer
   x = 180,216