Finding the Third Proportional to 50,259 and 105,683

Step by Step Solution

1. Step 1: Write the proportion equation
   50,259 : 105,683 = 105,683 : x
2. Step 2: Convert to fraction form
   50,259/105,683 = 105,683/x
3. Step 3: Cross multiply
   50,259x = 105,683 × 105,683
4. Step 4: Simplify right side
   50,259x = 11,168,896,489
5. Step 5: Solve for x
   x = 11,168,896,489/50,259
6. Step 6: Final answer
   x = 222,226.79