Finding the Third Proportional to 80,146 and 171,016

Step by Step Solution

1. Step 1: Write the proportion equation
   80,146 : 171,016 = 171,016 : x
2. Step 2: Convert to fraction form
   80,146/171,016 = 171,016/x
3. Step 3: Cross multiply
   80,146x = 171,016 × 171,016
4. Step 4: Simplify right side
   80,146x = 29,246,472,256
5. Step 5: Solve for x
   x = 29,246,472,256/80,146
6. Step 6: Final answer
   x = 364,914.93