Finding the Third Proportional to 41,338 and 89,223.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,338 : 89,223.50 = 89,223.50 : x
2. Step 2: Convert to fraction form
   41,338/89,223.50 = 89,223.50/x
3. Step 3: Cross multiply
   41,338x = 89,223.50 × 89,223.50
4. Step 4: Simplify right side
   41,338x = 7,960,832,952.25
5. Step 5: Solve for x
   x = 7,960,832,952.25/41,338
6. Step 6: Final answer
   x = 192,579.05