Finding the Third Proportional to 50,871 and 106,386

Step by Step Solution

1. Step 1: Write the proportion equation
   50,871 : 106,386 = 106,386 : x
2. Step 2: Convert to fraction form
   50,871/106,386 = 106,386/x
3. Step 3: Cross multiply
   50,871x = 106,386 × 106,386
4. Step 4: Simplify right side
   50,871x = 11,317,980,996
5. Step 5: Solve for x
   x = 11,317,980,996/50,871
6. Step 6: Final answer
   x = 222,483.95