Finding the Third Proportional to 41,648 and 89,949

Step by Step Solution

1. Step 1: Write the proportion equation
   41,648 : 89,949 = 89,949 : x
2. Step 2: Convert to fraction form
   41,648/89,949 = 89,949/x
3. Step 3: Cross multiply
   41,648x = 89,949 × 89,949
4. Step 4: Simplify right side
   41,648x = 8,090,822,601
5. Step 5: Solve for x
   x = 8,090,822,601/41,648
6. Step 6: Final answer
   x = 194,266.77