Finding the Third Proportional to 51,774 and 111,018

Step by Step Solution

1. Step 1: Write the proportion equation
   51,774 : 111,018 = 111,018 : x
2. Step 2: Convert to fraction form
   51,774/111,018 = 111,018/x
3. Step 3: Cross multiply
   51,774x = 111,018 × 111,018
4. Step 4: Simplify right side
   51,774x = 12,324,996,324
5. Step 5: Solve for x
   x = 12,324,996,324/51,774
6. Step 6: Final answer
   x = 238,053.78