Finding the Third Proportional to 80,365 and 175,017

Step by Step Solution

1. Step 1: Write the proportion equation
   80,365 : 175,017 = 175,017 : x
2. Step 2: Convert to fraction form
   80,365/175,017 = 175,017/x
3. Step 3: Cross multiply
   80,365x = 175,017 × 175,017
4. Step 4: Simplify right side
   80,365x = 30,630,950,289
5. Step 5: Solve for x
   x = 30,630,950,289/80,365
6. Step 6: Final answer
   x = 381,147.89