Finding the Third Proportional to 52,601 and 113,626

Step by Step Solution

1. Step 1: Write the proportion equation
   52,601 : 113,626 = 113,626 : x
2. Step 2: Convert to fraction form
   52,601/113,626 = 113,626/x
3. Step 3: Cross multiply
   52,601x = 113,626 × 113,626
4. Step 4: Simplify right side
   52,601x = 12,910,867,876
5. Step 5: Solve for x
   x = 12,910,867,876/52,601
6. Step 6: Final answer
   x = 245,449.10