Finding the Third Proportional to 47,743 and 105,020

Step by Step Solution

1. Step 1: Write the proportion equation
   47,743 : 105,020 = 105,020 : x
2. Step 2: Convert to fraction form
   47,743/105,020 = 105,020/x
3. Step 3: Cross multiply
   47,743x = 105,020 × 105,020
4. Step 4: Simplify right side
   47,743x = 11,029,200,400
5. Step 5: Solve for x
   x = 11,029,200,400/47,743
6. Step 6: Final answer
   x = 231,011.88