Finding the Third Proportional to 256,896 and 391,404.38

Step by Step Solution

1. Step 1: Write the proportion equation
   256,896 : 391,404.38 = 391,404.38 : x
2. Step 2: Convert to fraction form
   256,896/391,404.38 = 391,404.38/x
3. Step 3: Cross multiply
   256,896x = 391,404.38 × 391,404.38
4. Step 4: Simplify right side
   256,896x = 153,197,384,769.14
5. Step 5: Solve for x
   x = 153,197,384,769.14/256,896
6. Step 6: Final answer
   x = 596,340.09