Finding the Third Proportional to 100,256 and 213,856

Step by Step Solution

1. Step 1: Write the proportion equation
   100,256 : 213,856 = 213,856 : x
2. Step 2: Convert to fraction form
   100,256/213,856 = 213,856/x
3. Step 3: Cross multiply
   100,256x = 213,856 × 213,856
4. Step 4: Simplify right side
   100,256x = 45,734,388,736
5. Step 5: Solve for x
   x = 45,734,388,736/100,256
6. Step 6: Final answer
   x = 456,176.08