Finding the Third Proportional to 41,646 and 89,945

Step by Step Solution

1. Step 1: Write the proportion equation
   41,646 : 89,945 = 89,945 : x
2. Step 2: Convert to fraction form
   41,646/89,945 = 89,945/x
3. Step 3: Cross multiply
   41,646x = 89,945 × 89,945
4. Step 4: Simplify right side
   41,646x = 8,090,103,025
5. Step 5: Solve for x
   x = 8,090,103,025/41,646
6. Step 6: Final answer
   x = 194,258.82