Finding the Third Proportional to 123,344 and 269,514

Step by Step Solution

1. Step 1: Write the proportion equation
   123,344 : 269,514 = 269,514 : x
2. Step 2: Convert to fraction form
   123,344/269,514 = 269,514/x
3. Step 3: Cross multiply
   123,344x = 269,514 × 269,514
4. Step 4: Simplify right side
   123,344x = 72,637,796,196
5. Step 5: Solve for x
   x = 72,637,796,196/123,344
6. Step 6: Final answer
   x = 588,904.17