Finding the Third Proportional to 50,368 and 105,920

Step by Step Solution

1. Step 1: Write the proportion equation
   50,368 : 105,920 = 105,920 : x
2. Step 2: Convert to fraction form
   50,368/105,920 = 105,920/x
3. Step 3: Cross multiply
   50,368x = 105,920 × 105,920
4. Step 4: Simplify right side
   50,368x = 11,219,046,400
5. Step 5: Solve for x
   x = 11,219,046,400/50,368
6. Step 6: Final answer
   x = 222,741.55