Finding the Third Proportional to 103,638 and 215,066

Step by Step Solution

1. Step 1: Write the proportion equation
   103,638 : 215,066 = 215,066 : x
2. Step 2: Convert to fraction form
   103,638/215,066 = 215,066/x
3. Step 3: Cross multiply
   103,638x = 215,066 × 215,066
4. Step 4: Simplify right side
   103,638x = 46,253,384,356
5. Step 5: Solve for x
   x = 46,253,384,356/103,638
6. Step 6: Final answer
   x = 446,297.54