Finding the Third Proportional to 50,027 and 105,682

Step by Step Solution

1. Step 1: Write the proportion equation
   50,027 : 105,682 = 105,682 : x
2. Step 2: Convert to fraction form
   50,027/105,682 = 105,682/x
3. Step 3: Cross multiply
   50,027x = 105,682 × 105,682
4. Step 4: Simplify right side
   50,027x = 11,168,685,124
5. Step 5: Solve for x
   x = 11,168,685,124/50,027
6. Step 6: Final answer
   x = 223,253.15