Finding the Third Proportional to 80,849.25 and 175,198.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,849.25 : 175,198.50 = 175,198.50 : x
2. Step 2: Convert to fraction form
   80,849.25/175,198.50 = 175,198.50/x
3. Step 3: Cross multiply
   80,849.25x = 175,198.50 × 175,198.50
4. Step 4: Simplify right side
   80,849.25x = 30,694,514,402.25
5. Step 5: Solve for x
   x = 30,694,514,402.25/80,849.25
6. Step 6: Final answer
   x = 379,651.20