Finding the Third Proportional to 80,182.50 and 175,401

Step by Step Solution

1. Step 1: Write the proportion equation
   80,182.50 : 175,401 = 175,401 : x
2. Step 2: Convert to fraction form
   80,182.50/175,401 = 175,401/x
3. Step 3: Cross multiply
   80,182.50x = 175,401 × 175,401
4. Step 4: Simplify right side
   80,182.50x = 30,765,510,801
5. Step 5: Solve for x
   x = 30,765,510,801/80,182.50
6. Step 6: Final answer
   x = 383,693.58