Finding the Third Proportional to 50,856 and 108,270

Step by Step Solution

1. Step 1: Write the proportion equation
   50,856 : 108,270 = 108,270 : x
2. Step 2: Convert to fraction form
   50,856/108,270 = 108,270/x
3. Step 3: Cross multiply
   50,856x = 108,270 × 108,270
4. Step 4: Simplify right side
   50,856x = 11,722,392,900
5. Step 5: Solve for x
   x = 11,722,392,900/50,856
6. Step 6: Final answer
   x = 230,501.67