Finding the Third Proportional to 51,162 and 110,388

Step by Step Solution

1. Step 1: Write the proportion equation
   51,162 : 110,388 = 110,388 : x
2. Step 2: Convert to fraction form
   51,162/110,388 = 110,388/x
3. Step 3: Cross multiply
   51,162x = 110,388 × 110,388
4. Step 4: Simplify right side
   51,162x = 12,185,510,544
5. Step 5: Solve for x
   x = 12,185,510,544/51,162
6. Step 6: Final answer
   x = 238,175.02