Finding the Third Proportional to 50,966 and 108,493

Step by Step Solution

1. Step 1: Write the proportion equation
   50,966 : 108,493 = 108,493 : x
2. Step 2: Convert to fraction form
   50,966/108,493 = 108,493/x
3. Step 3: Cross multiply
   50,966x = 108,493 × 108,493
4. Step 4: Simplify right side
   50,966x = 11,770,731,049
5. Step 5: Solve for x
   x = 11,770,731,049/50,966
6. Step 6: Final answer
   x = 230,952.62