Finding the Third Proportional to 80,578.50 and 174,549

Step by Step Solution

1. Step 1: Write the proportion equation
   80,578.50 : 174,549 = 174,549 : x
2. Step 2: Convert to fraction form
   80,578.50/174,549 = 174,549/x
3. Step 3: Cross multiply
   80,578.50x = 174,549 × 174,549
4. Step 4: Simplify right side
   80,578.50x = 30,467,353,401
5. Step 5: Solve for x
   x = 30,467,353,401/80,578.50
6. Step 6: Final answer
   x = 378,107.73