Finding the Third Proportional to 41,882 and 91,162

Step by Step Solution

1. Step 1: Write the proportion equation
   41,882 : 91,162 = 91,162 : x
2. Step 2: Convert to fraction form
   41,882/91,162 = 91,162/x
3. Step 3: Cross multiply
   41,882x = 91,162 × 91,162
4. Step 4: Simplify right side
   41,882x = 8,310,510,244
5. Step 5: Solve for x
   x = 8,310,510,244/41,882
6. Step 6: Final answer
   x = 198,426.78