Finding the Third Proportional to 50,577 and 105,042

Step by Step Solution

1. Step 1: Write the proportion equation
   50,577 : 105,042 = 105,042 : x
2. Step 2: Convert to fraction form
   50,577/105,042 = 105,042/x
3. Step 3: Cross multiply
   50,577x = 105,042 × 105,042
4. Step 4: Simplify right side
   50,577x = 11,033,821,764
5. Step 5: Solve for x
   x = 11,033,821,764/50,577
6. Step 6: Final answer
   x = 218,158.88