Finding the Third Proportional to 41,540.38 and 90,599.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,540.38 : 90,599.50 = 90,599.50 : x
2. Step 2: Convert to fraction form
   41,540.38/90,599.50 = 90,599.50/x
3. Step 3: Cross multiply
   41,540.38x = 90,599.50 × 90,599.50
4. Step 4: Simplify right side
   41,540.38x = 8,208,269,400.25
5. Step 5: Solve for x
   x = 8,208,269,400.25/41,540.38
6. Step 6: Final answer
   x = 197,597.38