Finding the Third Proportional to 50,966 and 109,701

Step by Step Solution

1. Step 1: Write the proportion equation
   50,966 : 109,701 = 109,701 : x
2. Step 2: Convert to fraction form
   50,966/109,701 = 109,701/x
3. Step 3: Cross multiply
   50,966x = 109,701 × 109,701
4. Step 4: Simplify right side
   50,966x = 12,034,309,401
5. Step 5: Solve for x
   x = 12,034,309,401/50,966
6. Step 6: Final answer
   x = 236,124.27