Finding the Third Proportional to 41,936 and 91,144

Step by Step Solution

1. Step 1: Write the proportion equation
   41,936 : 91,144 = 91,144 : x
2. Step 2: Convert to fraction form
   41,936/91,144 = 91,144/x
3. Step 3: Cross multiply
   41,936x = 91,144 × 91,144
4. Step 4: Simplify right side
   41,936x = 8,307,228,736
5. Step 5: Solve for x
   x = 8,307,228,736/41,936
6. Step 6: Final answer
   x = 198,093.02