Finding the Third Proportional to 50,414 and 107,200

Step by Step Solution

1. Step 1: Write the proportion equation
   50,414 : 107,200 = 107,200 : x
2. Step 2: Convert to fraction form
   50,414/107,200 = 107,200/x
3. Step 3: Cross multiply
   50,414x = 107,200 × 107,200
4. Step 4: Simplify right side
   50,414x = 11,491,840,000
5. Step 5: Solve for x
   x = 11,491,840,000/50,414
6. Step 6: Final answer
   x = 227,949.38