Finding the Third Proportional to 50,395 and 105,649

Step by Step Solution

1. Step 1: Write the proportion equation
   50,395 : 105,649 = 105,649 : x
2. Step 2: Convert to fraction form
   50,395/105,649 = 105,649/x
3. Step 3: Cross multiply
   50,395x = 105,649 × 105,649
4. Step 4: Simplify right side
   50,395x = 11,161,711,201
5. Step 5: Solve for x
   x = 11,161,711,201/50,395
6. Step 6: Final answer
   x = 221,484.50