Finding the Third Proportional to 41,341 and 89,546

Step by Step Solution

1. Step 1: Write the proportion equation
   41,341 : 89,546 = 89,546 : x
2. Step 2: Convert to fraction form
   41,341/89,546 = 89,546/x
3. Step 3: Cross multiply
   41,341x = 89,546 × 89,546
4. Step 4: Simplify right side
   41,341x = 8,018,486,116
5. Step 5: Solve for x
   x = 8,018,486,116/41,341
6. Step 6: Final answer
   x = 193,959.66