Finding the Third Proportional to 41,896 and 91,180

Step by Step Solution

1. Step 1: Write the proportion equation
   41,896 : 91,180 = 91,180 : x
2. Step 2: Convert to fraction form
   41,896/91,180 = 91,180/x
3. Step 3: Cross multiply
   41,896x = 91,180 × 91,180
4. Step 4: Simplify right side
   41,896x = 8,313,792,400
5. Step 5: Solve for x
   x = 8,313,792,400/41,896
6. Step 6: Final answer
   x = 198,438.81