Finding the Third Proportional to 40,728 and 84,856

Step by Step Solution

1. Step 1: Write the proportion equation
   40,728 : 84,856 = 84,856 : x
2. Step 2: Convert to fraction form
   40,728/84,856 = 84,856/x
3. Step 3: Cross multiply
   40,728x = 84,856 × 84,856
4. Step 4: Simplify right side
   40,728x = 7,200,540,736
5. Step 5: Solve for x
   x = 7,200,540,736/40,728
6. Step 6: Final answer
   x = 176,795.83