Finding the Third Proportional to 80,175.75 and 175,387.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,175.75 : 175,387.50 = 175,387.50 : x
2. Step 2: Convert to fraction form
   80,175.75/175,387.50 = 175,387.50/x
3. Step 3: Cross multiply
   80,175.75x = 175,387.50 × 175,387.50
4. Step 4: Simplify right side
   80,175.75x = 30,760,775,156.25
5. Step 5: Solve for x
   x = 30,760,775,156.25/80,175.75
6. Step 6: Final answer
   x = 383,666.82