Finding the Third Proportional to 50,212 and 107,096

Step by Step Solution

1. Step 1: Write the proportion equation
   50,212 : 107,096 = 107,096 : x
2. Step 2: Convert to fraction form
   50,212/107,096 = 107,096/x
3. Step 3: Cross multiply
   50,212x = 107,096 × 107,096
4. Step 4: Simplify right side
   50,212x = 11,469,553,216
5. Step 5: Solve for x
   x = 11,469,553,216/50,212
6. Step 6: Final answer
   x = 228,422.55