Finding the Third Proportional to 47,778 and 103,852

Step by Step Solution

1. Step 1: Write the proportion equation
   47,778 : 103,852 = 103,852 : x
2. Step 2: Convert to fraction form
   47,778/103,852 = 103,852/x
3. Step 3: Cross multiply
   47,778x = 103,852 × 103,852
4. Step 4: Simplify right side
   47,778x = 10,785,237,904
5. Step 5: Solve for x
   x = 10,785,237,904/47,778
6. Step 6: Final answer
   x = 225,736.49