Finding the Third Proportional to 41,400 and 89,357.25

Step by Step Solution

1. Step 1: Write the proportion equation
   41,400 : 89,357.25 = 89,357.25 : x
2. Step 2: Convert to fraction form
   41,400/89,357.25 = 89,357.25/x
3. Step 3: Cross multiply
   41,400x = 89,357.25 × 89,357.25
4. Step 4: Simplify right side
   41,400x = 7,984,718,127.56
5. Step 5: Solve for x
   x = 7,984,718,127.56/41,400
6. Step 6: Final answer
   x = 192,867.59