Finding the Third Proportional to 80,704 and 171,020

Step by Step Solution

1. Step 1: Write the proportion equation
   80,704 : 171,020 = 171,020 : x
2. Step 2: Convert to fraction form
   80,704/171,020 = 171,020/x
3. Step 3: Cross multiply
   80,704x = 171,020 × 171,020
4. Step 4: Simplify right side
   80,704x = 29,247,840,400
5. Step 5: Solve for x
   x = 29,247,840,400/80,704
6. Step 6: Final answer
   x = 362,408.81