Finding the Third Proportional to 101,859 and 224,022

Step by Step Solution

1. Step 1: Write the proportion equation
   101,859 : 224,022 = 224,022 : x
2. Step 2: Convert to fraction form
   101,859/224,022 = 224,022/x
3. Step 3: Cross multiply
   101,859x = 224,022 × 224,022
4. Step 4: Simplify right side
   101,859x = 50,185,856,484
5. Step 5: Solve for x
   x = 50,185,856,484/101,859
6. Step 6: Final answer
   x = 492,699.29