Finding the Third Proportional to 80,385 and 171,843

Step by Step Solution

1. Step 1: Write the proportion equation
   80,385 : 171,843 = 171,843 : x
2. Step 2: Convert to fraction form
   80,385/171,843 = 171,843/x
3. Step 3: Cross multiply
   80,385x = 171,843 × 171,843
4. Step 4: Simplify right side
   80,385x = 29,530,016,649
5. Step 5: Solve for x
   x = 29,530,016,649/80,385
6. Step 6: Final answer
   x = 367,357.30