Finding the Third Proportional to 47,443 and 102,678

Step by Step Solution

1. Step 1: Write the proportion equation
   47,443 : 102,678 = 102,678 : x
2. Step 2: Convert to fraction form
   47,443/102,678 = 102,678/x
3. Step 3: Cross multiply
   47,443x = 102,678 × 102,678
4. Step 4: Simplify right side
   47,443x = 10,542,771,684
5. Step 5: Solve for x
   x = 10,542,771,684/47,443
6. Step 6: Final answer
   x = 222,219.75