Finding the Third Proportional to 80,789.50 and 172,811

Step by Step Solution

1. Step 1: Write the proportion equation
   80,789.50 : 172,811 = 172,811 : x
2. Step 2: Convert to fraction form
   80,789.50/172,811 = 172,811/x
3. Step 3: Cross multiply
   80,789.50x = 172,811 × 172,811
4. Step 4: Simplify right side
   80,789.50x = 29,863,641,721
5. Step 5: Solve for x
   x = 29,863,641,721/80,789.50
6. Step 6: Final answer
   x = 369,647.56