Finding the Third Proportional to 50,864 and 110,200

Step by Step Solution

1. Step 1: Write the proportion equation
   50,864 : 110,200 = 110,200 : x
2. Step 2: Convert to fraction form
   50,864/110,200 = 110,200/x
3. Step 3: Cross multiply
   50,864x = 110,200 × 110,200
4. Step 4: Simplify right side
   50,864x = 12,144,040,000
5. Step 5: Solve for x
   x = 12,144,040,000/50,864
6. Step 6: Final answer
   x = 238,755.11