Finding the Third Proportional to 41,878 and 91,131

Step by Step Solution

1. Step 1: Write the proportion equation
   41,878 : 91,131 = 91,131 : x
2. Step 2: Convert to fraction form
   41,878/91,131 = 91,131/x
3. Step 3: Cross multiply
   41,878x = 91,131 × 91,131
4. Step 4: Simplify right side
   41,878x = 8,304,859,161
5. Step 5: Solve for x
   x = 8,304,859,161/41,878
6. Step 6: Final answer
   x = 198,310.79