Finding the Third Proportional to 80,434 and 105,771

Step by Step Solution

1. Step 1: Write the proportion equation
   80,434 : 105,771 = 105,771 : x
2. Step 2: Convert to fraction form
   80,434/105,771 = 105,771/x
3. Step 3: Cross multiply
   80,434x = 105,771 × 105,771
4. Step 4: Simplify right side
   80,434x = 11,187,504,441
5. Step 5: Solve for x
   x = 11,187,504,441/80,434
6. Step 6: Final answer
   x = 139,089.25