Finding the Third Proportional to 41,878 and 91,156

Step by Step Solution

1. Step 1: Write the proportion equation
   41,878 : 91,156 = 91,156 : x
2. Step 2: Convert to fraction form
   41,878/91,156 = 91,156/x
3. Step 3: Cross multiply
   41,878x = 91,156 × 91,156
4. Step 4: Simplify right side
   41,878x = 8,309,416,336
5. Step 5: Solve for x
   x = 8,309,416,336/41,878
6. Step 6: Final answer
   x = 198,419.61