Finding the Third Proportional to 41,138 and 89,884

Step by Step Solution

1. Step 1: Write the proportion equation
   41,138 : 89,884 = 89,884 : x
2. Step 2: Convert to fraction form
   41,138/89,884 = 89,884/x
3. Step 3: Cross multiply
   41,138x = 89,884 × 89,884
4. Step 4: Simplify right side
   41,138x = 8,079,133,456
5. Step 5: Solve for x
   x = 8,079,133,456/41,138
6. Step 6: Final answer
   x = 196,391.01