Finding the Third Proportional to 171,560 and 260,256

Step by Step Solution

1. Step 1: Write the proportion equation
   171,560 : 260,256 = 260,256 : x
2. Step 2: Convert to fraction form
   171,560/260,256 = 260,256/x
3. Step 3: Cross multiply
   171,560x = 260,256 × 260,256
4. Step 4: Simplify right side
   171,560x = 67,733,185,536
5. Step 5: Solve for x
   x = 67,733,185,536/171,560
6. Step 6: Final answer
   x = 394,807.56