Finding the Third Proportional to 105,736 and 227,978

Step by Step Solution

1. Step 1: Write the proportion equation
   105,736 : 227,978 = 227,978 : x
2. Step 2: Convert to fraction form
   105,736/227,978 = 227,978/x
3. Step 3: Cross multiply
   105,736x = 227,978 × 227,978
4. Step 4: Simplify right side
   105,736x = 51,973,968,484
5. Step 5: Solve for x
   x = 51,973,968,484/105,736
6. Step 6: Final answer
   x = 491,544.68