Finding the Third Proportional to 40,778.25 and 82,709.25

Step by Step Solution

1. Step 1: Write the proportion equation
   40,778.25 : 82,709.25 = 82,709.25 : x
2. Step 2: Convert to fraction form
   40,778.25/82,709.25 = 82,709.25/x
3. Step 3: Cross multiply
   40,778.25x = 82,709.25 × 82,709.25
4. Step 4: Simplify right side
   40,778.25x = 6,840,820,035.56
5. Step 5: Solve for x
   x = 6,840,820,035.56/40,778.25
6. Step 6: Final answer
   x = 167,756.59