Finding the Third Proportional to 51,102 and 111,204

Step by Step Solution

1. Step 1: Write the proportion equation
   51,102 : 111,204 = 111,204 : x
2. Step 2: Convert to fraction form
   51,102/111,204 = 111,204/x
3. Step 3: Cross multiply
   51,102x = 111,204 × 111,204
4. Step 4: Simplify right side
   51,102x = 12,366,329,616
5. Step 5: Solve for x
   x = 12,366,329,616/51,102
6. Step 6: Final answer
   x = 241,993.07