Finding the Third Proportional to 50,306 and 105,508

Step by Step Solution

1. Step 1: Write the proportion equation
   50,306 : 105,508 = 105,508 : x
2. Step 2: Convert to fraction form
   50,306/105,508 = 105,508/x
3. Step 3: Cross multiply
   50,306x = 105,508 × 105,508
4. Step 4: Simplify right side
   50,306x = 11,131,938,064
5. Step 5: Solve for x
   x = 11,131,938,064/50,306
6. Step 6: Final answer
   x = 221,284.50