Finding the Third Proportional to 217,934 and 333,243

Step by Step Solution

1. Step 1: Write the proportion equation
   217,934 : 333,243 = 333,243 : x
2. Step 2: Convert to fraction form
   217,934/333,243 = 333,243/x
3. Step 3: Cross multiply
   217,934x = 333,243 × 333,243
4. Step 4: Simplify right side
   217,934x = 111,050,897,049
5. Step 5: Solve for x
   x = 111,050,897,049/217,934
6. Step 6: Final answer
   x = 509,562.06