Finding the Third Proportional to 41,665.50 and 90,436.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,665.50 : 90,436.50 = 90,436.50 : x
2. Step 2: Convert to fraction form
   41,665.50/90,436.50 = 90,436.50/x
3. Step 3: Cross multiply
   41,665.50x = 90,436.50 × 90,436.50
4. Step 4: Simplify right side
   41,665.50x = 8,178,760,532.25
5. Step 5: Solve for x
   x = 8,178,760,532.25/41,665.50
6. Step 6: Final answer
   x = 196,295.75