Finding the Third Proportional to 51,892 and 113,176

Step by Step Solution

1. Step 1: Write the proportion equation
   51,892 : 113,176 = 113,176 : x
2. Step 2: Convert to fraction form
   51,892/113,176 = 113,176/x
3. Step 3: Cross multiply
   51,892x = 113,176 × 113,176
4. Step 4: Simplify right side
   51,892x = 12,808,806,976
5. Step 5: Solve for x
   x = 12,808,806,976/51,892
6. Step 6: Final answer
   x = 246,835.87