Finding the Third Proportional to 80,144 and 171,012

Step by Step Solution

1. Step 1: Write the proportion equation
   80,144 : 171,012 = 171,012 : x
2. Step 2: Convert to fraction form
   80,144/171,012 = 171,012/x
3. Step 3: Cross multiply
   80,144x = 171,012 × 171,012
4. Step 4: Simplify right side
   80,144x = 29,245,104,144
5. Step 5: Solve for x
   x = 29,245,104,144/80,144
6. Step 6: Final answer
   x = 364,906.97