Finding the Third Proportional to 40,146.75 and 82,723.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,146.75 : 82,723.50 = 82,723.50 : x
2. Step 2: Convert to fraction form
   40,146.75/82,723.50 = 82,723.50/x
3. Step 3: Cross multiply
   40,146.75x = 82,723.50 × 82,723.50
4. Step 4: Simplify right side
   40,146.75x = 6,843,177,452.25
5. Step 5: Solve for x
   x = 6,843,177,452.25/40,146.75
6. Step 6: Final answer
   x = 170,454.08