Finding the Third Proportional to 80,315.25 and 178,582.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,315.25 : 178,582.50 = 178,582.50 : x
2. Step 2: Convert to fraction form
   80,315.25/178,582.50 = 178,582.50/x
3. Step 3: Cross multiply
   80,315.25x = 178,582.50 × 178,582.50
4. Step 4: Simplify right side
   80,315.25x = 31,891,709,306.25
5. Step 5: Solve for x
   x = 31,891,709,306.25/80,315.25
6. Step 6: Final answer
   x = 397,081.62