Finding the Third Proportional to 217,923 and 333,222

Step by Step Solution

1. Step 1: Write the proportion equation
   217,923 : 333,222 = 333,222 : x
2. Step 2: Convert to fraction form
   217,923/333,222 = 333,222/x
3. Step 3: Cross multiply
   217,923x = 333,222 × 333,222
4. Step 4: Simplify right side
   217,923x = 111,036,901,284
5. Step 5: Solve for x
   x = 111,036,901,284/217,923
6. Step 6: Final answer
   x = 509,523.55