Finding the Third Proportional to 40,271.50 and 90,986.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,271.50 : 90,986.50 = 90,986.50 : x
2. Step 2: Convert to fraction form
   40,271.50/90,986.50 = 90,986.50/x
3. Step 3: Cross multiply
   40,271.50x = 90,986.50 × 90,986.50
4. Step 4: Simplify right side
   40,271.50x = 8,278,543,182.25
5. Step 5: Solve for x
   x = 8,278,543,182.25/40,271.50
6. Step 6: Final answer
   x = 205,568.28