Finding the Third Proportional to 47,742 and 103,980

Step by Step Solution

1. Step 1: Write the proportion equation
   47,742 : 103,980 = 103,980 : x
2. Step 2: Convert to fraction form
   47,742/103,980 = 103,980/x
3. Step 3: Cross multiply
   47,742x = 103,980 × 103,980
4. Step 4: Simplify right side
   47,742x = 10,811,840,400
5. Step 5: Solve for x
   x = 10,811,840,400/47,742
6. Step 6: Final answer
   x = 226,463.92