Finding the Third Proportional to 80,724 and 133,406

Step by Step Solution

1. Step 1: Write the proportion equation
   80,724 : 133,406 = 133,406 : x
2. Step 2: Convert to fraction form
   80,724/133,406 = 133,406/x
3. Step 3: Cross multiply
   80,724x = 133,406 × 133,406
4. Step 4: Simplify right side
   80,724x = 17,797,160,836
5. Step 5: Solve for x
   x = 17,797,160,836/80,724
6. Step 6: Final answer
   x = 220,469.26