Finding the Third Proportional to 50,938 and 113,540

Step by Step Solution

1. Step 1: Write the proportion equation
   50,938 : 113,540 = 113,540 : x
2. Step 2: Convert to fraction form
   50,938/113,540 = 113,540/x
3. Step 3: Cross multiply
   50,938x = 113,540 × 113,540
4. Step 4: Simplify right side
   50,938x = 12,891,331,600
5. Step 5: Solve for x
   x = 12,891,331,600/50,938
6. Step 6: Final answer
   x = 253,078.87