Finding the Third Proportional to 40,766.50 and 85,965.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,766.50 : 85,965.50 = 85,965.50 : x
2. Step 2: Convert to fraction form
   40,766.50/85,965.50 = 85,965.50/x
3. Step 3: Cross multiply
   40,766.50x = 85,965.50 × 85,965.50
4. Step 4: Simplify right side
   40,766.50x = 7,390,067,190.25
5. Step 5: Solve for x
   x = 7,390,067,190.25/40,766.50
6. Step 6: Final answer
   x = 181,277.94