Finding the Third Proportional to 209,813 and 333,678

Step by Step Solution

1. Step 1: Write the proportion equation
   209,813 : 333,678 = 333,678 : x
2. Step 2: Convert to fraction form
   209,813/333,678 = 333,678/x
3. Step 3: Cross multiply
   209,813x = 333,678 × 333,678
4. Step 4: Simplify right side
   209,813x = 111,341,007,684
5. Step 5: Solve for x
   x = 111,341,007,684/209,813
6. Step 6: Final answer
   x = 530,667.82