Finding the Third Proportional to 50,814 and 111,442.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,814 : 111,442.50 = 111,442.50 : x
2. Step 2: Convert to fraction form
   50,814/111,442.50 = 111,442.50/x
3. Step 3: Cross multiply
   50,814x = 111,442.50 × 111,442.50
4. Step 4: Simplify right side
   50,814x = 12,419,430,806.25
5. Step 5: Solve for x
   x = 12,419,430,806.25/50,814
6. Step 6: Final answer
   x = 244,409.63