Finding the Third Proportional to 47,616 and 103,698

Step by Step Solution

1. Step 1: Write the proportion equation
   47,616 : 103,698 = 103,698 : x
2. Step 2: Convert to fraction form
   47,616/103,698 = 103,698/x
3. Step 3: Cross multiply
   47,616x = 103,698 × 103,698
4. Step 4: Simplify right side
   47,616x = 10,753,275,204
5. Step 5: Solve for x
   x = 10,753,275,204/47,616
6. Step 6: Final answer
   x = 225,833.23