Finding the Third Proportional to 47,744 and 103,984

Step by Step Solution

1. Step 1: Write the proportion equation
   47,744 : 103,984 = 103,984 : x
2. Step 2: Convert to fraction form
   47,744/103,984 = 103,984/x
3. Step 3: Cross multiply
   47,744x = 103,984 × 103,984
4. Step 4: Simplify right side
   47,744x = 10,812,672,256
5. Step 5: Solve for x
   x = 10,812,672,256/47,744
6. Step 6: Final answer
   x = 226,471.86