Finding the Third Proportional to 82,162 and 168,218

Step by Step Solution

1. Step 1: Write the proportion equation
   82,162 : 168,218 = 168,218 : x
2. Step 2: Convert to fraction form
   82,162/168,218 = 168,218/x
3. Step 3: Cross multiply
   82,162x = 168,218 × 168,218
4. Step 4: Simplify right side
   82,162x = 28,297,295,524
5. Step 5: Solve for x
   x = 28,297,295,524/82,162
6. Step 6: Final answer
   x = 344,408.55