Finding the Third Proportional to 301,382 and 413,256

Step by Step Solution

1. Step 1: Write the proportion equation
   301,382 : 413,256 = 413,256 : x
2. Step 2: Convert to fraction form
   301,382/413,256 = 413,256/x
3. Step 3: Cross multiply
   301,382x = 413,256 × 413,256
4. Step 4: Simplify right side
   301,382x = 170,780,521,536
5. Step 5: Solve for x
   x = 170,780,521,536/301,382
6. Step 6: Final answer
   x = 566,658.00