Finding the Third Proportional to 217,216 and 448,256

Step by Step Solution

1. Step 1: Write the proportion equation
   217,216 : 448,256 = 448,256 : x
2. Step 2: Convert to fraction form
   217,216/448,256 = 448,256/x
3. Step 3: Cross multiply
   217,216x = 448,256 × 448,256
4. Step 4: Simplify right side
   217,216x = 200,933,441,536
5. Step 5: Solve for x
   x = 200,933,441,536/217,216
6. Step 6: Final answer
   x = 925,039.78