Finding the Third Proportional to 41,638 and 89,225

Step by Step Solution

1. Step 1: Write the proportion equation
   41,638 : 89,225 = 89,225 : x
2. Step 2: Convert to fraction form
   41,638/89,225 = 89,225/x
3. Step 3: Cross multiply
   41,638x = 89,225 × 89,225
4. Step 4: Simplify right side
   41,638x = 7,961,100,625
5. Step 5: Solve for x
   x = 7,961,100,625/41,638
6. Step 6: Final answer
   x = 191,197.96