Finding the Third Proportional to 101,856 and 224,016

Step by Step Solution

1. Step 1: Write the proportion equation
   101,856 : 224,016 = 224,016 : x
2. Step 2: Convert to fraction form
   101,856/224,016 = 224,016/x
3. Step 3: Cross multiply
   101,856x = 224,016 × 224,016
4. Step 4: Simplify right side
   101,856x = 50,183,168,256
5. Step 5: Solve for x
   x = 50,183,168,256/101,856
6. Step 6: Final answer
   x = 492,687.40