Finding the Third Proportional to 41,344 and 89,228

Step by Step Solution

1. Step 1: Write the proportion equation
   41,344 : 89,228 = 89,228 : x
2. Step 2: Convert to fraction form
   41,344/89,228 = 89,228/x
3. Step 3: Cross multiply
   41,344x = 89,228 × 89,228
4. Step 4: Simplify right side
   41,344x = 7,961,635,984
5. Step 5: Solve for x
   x = 7,961,635,984/41,344
6. Step 6: Final answer
   x = 192,570.53