Finding the Third Proportional to 47,855 and 103,022

Step by Step Solution

1. Step 1: Write the proportion equation
   47,855 : 103,022 = 103,022 : x
2. Step 2: Convert to fraction form
   47,855/103,022 = 103,022/x
3. Step 3: Cross multiply
   47,855x = 103,022 × 103,022
4. Step 4: Simplify right side
   47,855x = 10,613,532,484
5. Step 5: Solve for x
   x = 10,613,532,484/47,855
6. Step 6: Final answer
   x = 221,785.24