Finding the Third Proportional to 47,623 and 103,697

Step by Step Solution

1. Step 1: Write the proportion equation
   47,623 : 103,697 = 103,697 : x
2. Step 2: Convert to fraction form
   47,623/103,697 = 103,697/x
3. Step 3: Cross multiply
   47,623x = 103,697 × 103,697
4. Step 4: Simplify right side
   47,623x = 10,753,067,809
5. Step 5: Solve for x
   x = 10,753,067,809/47,623
6. Step 6: Final answer
   x = 225,795.68