Finding the Third Proportional to 80,625 and 175,243.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,625 : 175,243.50 = 175,243.50 : x
2. Step 2: Convert to fraction form
   80,625/175,243.50 = 175,243.50/x
3. Step 3: Cross multiply
   80,625x = 175,243.50 × 175,243.50
4. Step 4: Simplify right side
   80,625x = 30,710,284,292.25
5. Step 5: Solve for x
   x = 30,710,284,292.25/80,625
6. Step 6: Final answer
   x = 380,902.75