Finding the Third Proportional to 41,193 and 89,904

Step by Step Solution

1. Step 1: Write the proportion equation
   41,193 : 89,904 = 89,904 : x
2. Step 2: Convert to fraction form
   41,193/89,904 = 89,904/x
3. Step 3: Cross multiply
   41,193x = 89,904 × 89,904
4. Step 4: Simplify right side
   41,193x = 8,082,729,216
5. Step 5: Solve for x
   x = 8,082,729,216/41,193
6. Step 6: Final answer
   x = 196,216.09