Finding the Third Proportional to 51,162 and 108,408

Step by Step Solution

1. Step 1: Write the proportion equation
   51,162 : 108,408 = 108,408 : x
2. Step 2: Convert to fraction form
   51,162/108,408 = 108,408/x
3. Step 3: Cross multiply
   51,162x = 108,408 × 108,408
4. Step 4: Simplify right side
   51,162x = 11,752,294,464
5. Step 5: Solve for x
   x = 11,752,294,464/51,162
6. Step 6: Final answer
   x = 229,707.49