Finding the Third Proportional to 80,158 and 171,434

Step by Step Solution

1. Step 1: Write the proportion equation
   80,158 : 171,434 = 171,434 : x
2. Step 2: Convert to fraction form
   80,158/171,434 = 171,434/x
3. Step 3: Cross multiply
   80,158x = 171,434 × 171,434
4. Step 4: Simplify right side
   80,158x = 29,389,616,356
5. Step 5: Solve for x
   x = 29,389,616,356/80,158
6. Step 6: Final answer
   x = 366,646.08