Finding the Third Proportional to 200,731 and 441,384

Step by Step Solution

1. Step 1: Write the proportion equation
   200,731 : 441,384 = 441,384 : x
2. Step 2: Convert to fraction form
   200,731/441,384 = 441,384/x
3. Step 3: Cross multiply
   200,731x = 441,384 × 441,384
4. Step 4: Simplify right side
   200,731x = 194,819,835,456
5. Step 5: Solve for x
   x = 194,819,835,456/200,731
6. Step 6: Final answer
   x = 970,551.81