Finding the Third Proportional to 80,433 and 111,496.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,433 : 111,496.50 = 111,496.50 : x
2. Step 2: Convert to fraction form
   80,433/111,496.50 = 111,496.50/x
3. Step 3: Cross multiply
   80,433x = 111,496.50 × 111,496.50
4. Step 4: Simplify right side
   80,433x = 12,431,469,512.25
5. Step 5: Solve for x
   x = 12,431,469,512.25/80,433
6. Step 6: Final answer
   x = 154,556.83