Finding the Third Proportional to 50,306 and 109,266

Step by Step Solution

1. Step 1: Write the proportion equation
   50,306 : 109,266 = 109,266 : x
2. Step 2: Convert to fraction form
   50,306/109,266 = 109,266/x
3. Step 3: Cross multiply
   50,306x = 109,266 × 109,266
4. Step 4: Simplify right side
   50,306x = 11,939,058,756
5. Step 5: Solve for x
   x = 11,939,058,756/50,306
6. Step 6: Final answer
   x = 237,328.72