Finding the Third Proportional to 81,514 and 171,876

Step by Step Solution

1. Step 1: Write the proportion equation
   81,514 : 171,876 = 171,876 : x
2. Step 2: Convert to fraction form
   81,514/171,876 = 171,876/x
3. Step 3: Cross multiply
   81,514x = 171,876 × 171,876
4. Step 4: Simplify right side
   81,514x = 29,541,359,376
5. Step 5: Solve for x
   x = 29,541,359,376/81,514
6. Step 6: Final answer
   x = 362,408.41