Finding the Third Proportional to 41,816 and 89,696

Step by Step Solution

1. Step 1: Write the proportion equation
   41,816 : 89,696 = 89,696 : x
2. Step 2: Convert to fraction form
   41,816/89,696 = 89,696/x
3. Step 3: Cross multiply
   41,816x = 89,696 × 89,696
4. Step 4: Simplify right side
   41,816x = 8,045,372,416
5. Step 5: Solve for x
   x = 8,045,372,416/41,816
6. Step 6: Final answer
   x = 192,399.38