Finding the Third Proportional to 103,665 and 213,872

Step by Step Solution

1. Step 1: Write the proportion equation
   103,665 : 213,872 = 213,872 : x
2. Step 2: Convert to fraction form
   103,665/213,872 = 213,872/x
3. Step 3: Cross multiply
   103,665x = 213,872 × 213,872
4. Step 4: Simplify right side
   103,665x = 45,741,232,384
5. Step 5: Solve for x
   x = 45,741,232,384/103,665
6. Step 6: Final answer
   x = 441,240.85