Finding the Third Proportional to 41,148 and 89,901

Step by Step Solution

1. Step 1: Write the proportion equation
   41,148 : 89,901 = 89,901 : x
2. Step 2: Convert to fraction form
   41,148/89,901 = 89,901/x
3. Step 3: Cross multiply
   41,148x = 89,901 × 89,901
4. Step 4: Simplify right side
   41,148x = 8,082,189,801
5. Step 5: Solve for x
   x = 8,082,189,801/41,148
6. Step 6: Final answer
   x = 196,417.56