Finding the Third Proportional to 51,763 and 111,302

Step by Step Solution

1. Step 1: Write the proportion equation
   51,763 : 111,302 = 111,302 : x
2. Step 2: Convert to fraction form
   51,763/111,302 = 111,302/x
3. Step 3: Cross multiply
   51,763x = 111,302 × 111,302
4. Step 4: Simplify right side
   51,763x = 12,388,135,204
5. Step 5: Solve for x
   x = 12,388,135,204/51,763
6. Step 6: Final answer
   x = 239,324.14