Finding the Third Proportional to 40,900 and 86,744

Step by Step Solution

1. Step 1: Write the proportion equation
   40,900 : 86,744 = 86,744 : x
2. Step 2: Convert to fraction form
   40,900/86,744 = 86,744/x
3. Step 3: Cross multiply
   40,900x = 86,744 × 86,744
4. Step 4: Simplify right side
   40,900x = 7,524,521,536
5. Step 5: Solve for x
   x = 7,524,521,536/40,900
6. Step 6: Final answer
   x = 183,973.63