Finding the Third Proportional to 41,205.75 and 88,243.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,205.75 : 88,243.50 = 88,243.50 : x
2. Step 2: Convert to fraction form
   41,205.75/88,243.50 = 88,243.50/x
3. Step 3: Cross multiply
   41,205.75x = 88,243.50 × 88,243.50
4. Step 4: Simplify right side
   41,205.75x = 7,786,915,292.25
5. Step 5: Solve for x
   x = 7,786,915,292.25/41,205.75
6. Step 6: Final answer
   x = 188,976.42