Finding the Third Proportional to 51,664 and 113,162

Step by Step Solution

1. Step 1: Write the proportion equation
   51,664 : 113,162 = 113,162 : x
2. Step 2: Convert to fraction form
   51,664/113,162 = 113,162/x
3. Step 3: Cross multiply
   51,664x = 113,162 × 113,162
4. Step 4: Simplify right side
   51,664x = 12,805,638,244
5. Step 5: Solve for x
   x = 12,805,638,244/51,664
6. Step 6: Final answer
   x = 247,863.86