Finding the Third Proportional to 50,998 and 110,468

Step by Step Solution

1. Step 1: Write the proportion equation
   50,998 : 110,468 = 110,468 : x
2. Step 2: Convert to fraction form
   50,998/110,468 = 110,468/x
3. Step 3: Cross multiply
   50,998x = 110,468 × 110,468
4. Step 4: Simplify right side
   50,998x = 12,203,179,024
5. Step 5: Solve for x
   x = 12,203,179,024/50,998
6. Step 6: Final answer
   x = 239,287.40