Finding the Third Proportional to 47,723 and 103,648

Step by Step Solution

1. Step 1: Write the proportion equation
   47,723 : 103,648 = 103,648 : x
2. Step 2: Convert to fraction form
   47,723/103,648 = 103,648/x
3. Step 3: Cross multiply
   47,723x = 103,648 × 103,648
4. Step 4: Simplify right side
   47,723x = 10,742,907,904
5. Step 5: Solve for x
   x = 10,742,907,904/47,723
6. Step 6: Final answer
   x = 225,109.65