Finding the Third Proportional to 41,478 and 89,976

Step by Step Solution

1. Step 1: Write the proportion equation
   41,478 : 89,976 = 89,976 : x
2. Step 2: Convert to fraction form
   41,478/89,976 = 89,976/x
3. Step 3: Cross multiply
   41,478x = 89,976 × 89,976
4. Step 4: Simplify right side
   41,478x = 8,095,680,576
5. Step 5: Solve for x
   x = 8,095,680,576/41,478
6. Step 6: Final answer
   x = 195,180.11