Finding the Third Proportional to 50,548 and 105,200

Step by Step Solution

1. Step 1: Write the proportion equation
   50,548 : 105,200 = 105,200 : x
2. Step 2: Convert to fraction form
   50,548/105,200 = 105,200/x
3. Step 3: Cross multiply
   50,548x = 105,200 × 105,200
4. Step 4: Simplify right side
   50,548x = 11,067,040,000
5. Step 5: Solve for x
   x = 11,067,040,000/50,548
6. Step 6: Final answer
   x = 218,941.20