Finding the Third Proportional to 50,978 and 110,020

Step by Step Solution

1. Step 1: Write the proportion equation
   50,978 : 110,020 = 110,020 : x
2. Step 2: Convert to fraction form
   50,978/110,020 = 110,020/x
3. Step 3: Cross multiply
   50,978x = 110,020 × 110,020
4. Step 4: Simplify right side
   50,978x = 12,104,400,400
5. Step 5: Solve for x
   x = 12,104,400,400/50,978
6. Step 6: Final answer
   x = 237,443.61