Finding the Third Proportional to 103,638 and 215,067

Step by Step Solution

1. Step 1: Write the proportion equation
   103,638 : 215,067 = 215,067 : x
2. Step 2: Convert to fraction form
   103,638/215,067 = 215,067/x
3. Step 3: Cross multiply
   103,638x = 215,067 × 215,067
4. Step 4: Simplify right side
   103,638x = 46,253,814,489
5. Step 5: Solve for x
   x = 46,253,814,489/103,638
6. Step 6: Final answer
   x = 446,301.69