Finding the Third Proportional to 41,361 and 89,742

Step by Step Solution

1. Step 1: Write the proportion equation
   41,361 : 89,742 = 89,742 : x
2. Step 2: Convert to fraction form
   41,361/89,742 = 89,742/x
3. Step 3: Cross multiply
   41,361x = 89,742 × 89,742
4. Step 4: Simplify right side
   41,361x = 8,053,626,564
5. Step 5: Solve for x
   x = 8,053,626,564/41,361
6. Step 6: Final answer
   x = 194,715.47