Finding the Third Proportional to 209,399 and 333,524

Step by Step Solution

1. Step 1: Write the proportion equation
   209,399 : 333,524 = 333,524 : x
2. Step 2: Convert to fraction form
   209,399/333,524 = 333,524/x
3. Step 3: Cross multiply
   209,399x = 333,524 × 333,524
4. Step 4: Simplify right side
   209,399x = 111,238,258,576
5. Step 5: Solve for x
   x = 111,238,258,576/209,399
6. Step 6: Final answer
   x = 531,226.31