Finding the Third Proportional to 41,216 and 89,792

Step by Step Solution

1. Step 1: Write the proportion equation
   41,216 : 89,792 = 89,792 : x
2. Step 2: Convert to fraction form
   41,216/89,792 = 89,792/x
3. Step 3: Cross multiply
   41,216x = 89,792 × 89,792
4. Step 4: Simplify right side
   41,216x = 8,062,603,264
5. Step 5: Solve for x
   x = 8,062,603,264/41,216
6. Step 6: Final answer
   x = 195,618.29