Finding the Third Proportional to 50,964 and 108,096

Step by Step Solution

1. Step 1: Write the proportion equation
   50,964 : 108,096 = 108,096 : x
2. Step 2: Convert to fraction form
   50,964/108,096 = 108,096/x
3. Step 3: Cross multiply
   50,964x = 108,096 × 108,096
4. Step 4: Simplify right side
   50,964x = 11,684,745,216
5. Step 5: Solve for x
   x = 11,684,745,216/50,964
6. Step 6: Final answer
   x = 229,274.49