Finding the Third Proportional to 260,018 and 388,326

Step by Step Solution

1. Step 1: Write the proportion equation
   260,018 : 388,326 = 388,326 : x
2. Step 2: Convert to fraction form
   260,018/388,326 = 388,326/x
3. Step 3: Cross multiply
   260,018x = 388,326 × 388,326
4. Step 4: Simplify right side
   260,018x = 150,797,082,276
5. Step 5: Solve for x
   x = 150,797,082,276/260,018
6. Step 6: Final answer
   x = 579,948.63