Finding the Third Proportional to 41,328 and 89,216

Step by Step Solution

1. Step 1: Write the proportion equation
   41,328 : 89,216 = 89,216 : x
2. Step 2: Convert to fraction form
   41,328/89,216 = 89,216/x
3. Step 3: Cross multiply
   41,328x = 89,216 × 89,216
4. Step 4: Simplify right side
   41,328x = 7,959,494,656
5. Step 5: Solve for x
   x = 7,959,494,656/41,328
6. Step 6: Final answer
   x = 192,593.27