Finding the Third Proportional to 41,144 and 89,656

Step by Step Solution

1. Step 1: Write the proportion equation
   41,144 : 89,656 = 89,656 : x
2. Step 2: Convert to fraction form
   41,144/89,656 = 89,656/x
3. Step 3: Cross multiply
   41,144x = 89,656 × 89,656
4. Step 4: Simplify right side
   41,144x = 8,038,198,336
5. Step 5: Solve for x
   x = 8,038,198,336/41,144
6. Step 6: Final answer
   x = 195,367.45