Finding the Third Proportional to 51,876 and 113,520

Step by Step Solution

1. Step 1: Write the proportion equation
   51,876 : 113,520 = 113,520 : x
2. Step 2: Convert to fraction form
   51,876/113,520 = 113,520/x
3. Step 3: Cross multiply
   51,876x = 113,520 × 113,520
4. Step 4: Simplify right side
   51,876x = 12,886,790,400
5. Step 5: Solve for x
   x = 12,886,790,400/51,876
6. Step 6: Final answer
   x = 248,415.27