Finding the Third Proportional to 80,580 and 175,002

Step by Step Solution

1. Step 1: Write the proportion equation
   80,580 : 175,002 = 175,002 : x
2. Step 2: Convert to fraction form
   80,580/175,002 = 175,002/x
3. Step 3: Cross multiply
   80,580x = 175,002 × 175,002
4. Step 4: Simplify right side
   80,580x = 30,625,700,004
5. Step 5: Solve for x
   x = 30,625,700,004/80,580
6. Step 6: Final answer
   x = 380,065.77