Finding the Third Proportional to 51,714 and 113,148

Step by Step Solution

1. Step 1: Write the proportion equation
   51,714 : 113,148 = 113,148 : x
2. Step 2: Convert to fraction form
   51,714/113,148 = 113,148/x
3. Step 3: Cross multiply
   51,714x = 113,148 × 113,148
4. Step 4: Simplify right side
   51,714x = 12,802,469,904
5. Step 5: Solve for x
   x = 12,802,469,904/51,714
6. Step 6: Final answer
   x = 247,562.94