Finding the Third Proportional to 51,874 and 113,834

Step by Step Solution

1. Step 1: Write the proportion equation
   51,874 : 113,834 = 113,834 : x
2. Step 2: Convert to fraction form
   51,874/113,834 = 113,834/x
3. Step 3: Cross multiply
   51,874x = 113,834 × 113,834
4. Step 4: Simplify right side
   51,874x = 12,958,179,556
5. Step 5: Solve for x
   x = 12,958,179,556/51,874
6. Step 6: Final answer
   x = 249,801.05