Finding the Third Proportional to 47,742 and 105,018

Step by Step Solution

1. Step 1: Write the proportion equation
   47,742 : 105,018 = 105,018 : x
2. Step 2: Convert to fraction form
   47,742/105,018 = 105,018/x
3. Step 3: Cross multiply
   47,742x = 105,018 × 105,018
4. Step 4: Simplify right side
   47,742x = 11,028,780,324
5. Step 5: Solve for x
   x = 11,028,780,324/47,742
6. Step 6: Final answer
   x = 231,007.92