Finding the Third Proportional to 80,496 and 175,620

Step by Step Solution

1. Step 1: Write the proportion equation
   80,496 : 175,620 = 175,620 : x
2. Step 2: Convert to fraction form
   80,496/175,620 = 175,620/x
3. Step 3: Cross multiply
   80,496x = 175,620 × 175,620
4. Step 4: Simplify right side
   80,496x = 30,842,384,400
5. Step 5: Solve for x
   x = 30,842,384,400/80,496
6. Step 6: Final answer
   x = 383,154.25