Finding the Third Proportional to 50,156 and 106,856

Step by Step Solution

1. Step 1: Write the proportion equation
   50,156 : 106,856 = 106,856 : x
2. Step 2: Convert to fraction form
   50,156/106,856 = 106,856/x
3. Step 3: Cross multiply
   50,156x = 106,856 × 106,856
4. Step 4: Simplify right side
   50,156x = 11,418,204,736
5. Step 5: Solve for x
   x = 11,418,204,736/50,156
6. Step 6: Final answer
   x = 227,653.81