Finding the Third Proportional to 172,856 and 282,256

Step by Step Solution

1. Step 1: Write the proportion equation
   172,856 : 282,256 = 282,256 : x
2. Step 2: Convert to fraction form
   172,856/282,256 = 282,256/x
3. Step 3: Cross multiply
   172,856x = 282,256 × 282,256
4. Step 4: Simplify right side
   172,856x = 79,668,449,536
5. Step 5: Solve for x
   x = 79,668,449,536/172,856
6. Step 6: Final answer
   x = 460,894.90