Finding the Third Proportional to 223,565 and 338,238

Step by Step Solution

1. Step 1: Write the proportion equation
   223,565 : 338,238 = 338,238 : x
2. Step 2: Convert to fraction form
   223,565/338,238 = 338,238/x
3. Step 3: Cross multiply
   223,565x = 338,238 × 338,238
4. Step 4: Simplify right side
   223,565x = 114,404,944,644
5. Step 5: Solve for x
   x = 114,404,944,644/223,565
6. Step 6: Final answer
   x = 511,730.12