Finding the Third Proportional to 47,760 and 103,815

Step by Step Solution

1. Step 1: Write the proportion equation
   47,760 : 103,815 = 103,815 : x
2. Step 2: Convert to fraction form
   47,760/103,815 = 103,815/x
3. Step 3: Cross multiply
   47,760x = 103,815 × 103,815
4. Step 4: Simplify right side
   47,760x = 10,777,554,225
5. Step 5: Solve for x
   x = 10,777,554,225/47,760
6. Step 6: Final answer
   x = 225,660.68