Finding the Third Proportional to 54,198 and 111,852

Step by Step Solution

1. Step 1: Write the proportion equation
   54,198 : 111,852 = 111,852 : x
2. Step 2: Convert to fraction form
   54,198/111,852 = 111,852/x
3. Step 3: Cross multiply
   54,198x = 111,852 × 111,852
4. Step 4: Simplify right side
   54,198x = 12,510,869,904
5. Step 5: Solve for x
   x = 12,510,869,904/54,198
6. Step 6: Final answer
   x = 230,836.38