Finding the Third Proportional to 41,406 and 89,369.25

Step by Step Solution

1. Step 1: Write the proportion equation
   41,406 : 89,369.25 = 89,369.25 : x
2. Step 2: Convert to fraction form
   41,406/89,369.25 = 89,369.25/x
3. Step 3: Cross multiply
   41,406x = 89,369.25 × 89,369.25
4. Step 4: Simplify right side
   41,406x = 7,986,862,845.56
5. Step 5: Solve for x
   x = 7,986,862,845.56/41,406
6. Step 6: Final answer
   x = 192,891.44