Finding the Third Proportional to 40,786.50 and 89,617.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,786.50 : 89,617.50 = 89,617.50 : x
2. Step 2: Convert to fraction form
   40,786.50/89,617.50 = 89,617.50/x
3. Step 3: Cross multiply
   40,786.50x = 89,617.50 × 89,617.50
4. Step 4: Simplify right side
   40,786.50x = 8,031,296,306.25
5. Step 5: Solve for x
   x = 8,031,296,306.25/40,786.50
6. Step 6: Final answer
   x = 196,910.65