Finding the Third Proportional to 388,176 and 617,256

Step by Step Solution

1. Step 1: Write the proportion equation
   388,176 : 617,256 = 617,256 : x
2. Step 2: Convert to fraction form
   388,176/617,256 = 617,256/x
3. Step 3: Cross multiply
   388,176x = 617,256 × 617,256
4. Step 4: Simplify right side
   388,176x = 381,004,969,536
5. Step 5: Solve for x
   x = 381,004,969,536/388,176
6. Step 6: Final answer
   x = 981,526.34