Finding the Third Proportional to 48,238 and 103,874

Step by Step Solution

1. Step 1: Write the proportion equation
   48,238 : 103,874 = 103,874 : x
2. Step 2: Convert to fraction form
   48,238/103,874 = 103,874/x
3. Step 3: Cross multiply
   48,238x = 103,874 × 103,874
4. Step 4: Simplify right side
   48,238x = 10,789,807,876
5. Step 5: Solve for x
   x = 10,789,807,876/48,238
6. Step 6: Final answer
   x = 223,678.59