Finding the Third Proportional to 223,934 and 338,061

Step by Step Solution

1. Step 1: Write the proportion equation
   223,934 : 338,061 = 338,061 : x
2. Step 2: Convert to fraction form
   223,934/338,061 = 338,061/x
3. Step 3: Cross multiply
   223,934x = 338,061 × 338,061
4. Step 4: Simplify right side
   223,934x = 114,285,239,721
5. Step 5: Solve for x
   x = 114,285,239,721/223,934
6. Step 6: Final answer
   x = 510,352.33