Finding the Third Proportional to 51,996 and 106,456.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,996 : 106,456.50 = 106,456.50 : x
2. Step 2: Convert to fraction form
   51,996/106,456.50 = 106,456.50/x
3. Step 3: Cross multiply
   51,996x = 106,456.50 × 106,456.50
4. Step 4: Simplify right side
   51,996x = 11,332,986,392.25
5. Step 5: Solve for x
   x = 11,332,986,392.25/51,996
6. Step 6: Final answer
   x = 217,958.81