Finding the Third Proportional to 50,398 and 109,868

Step by Step Solution

1. Step 1: Write the proportion equation
   50,398 : 109,868 = 109,868 : x
2. Step 2: Convert to fraction form
   50,398/109,868 = 109,868/x
3. Step 3: Cross multiply
   50,398x = 109,868 × 109,868
4. Step 4: Simplify right side
   50,398x = 12,070,977,424
5. Step 5: Solve for x
   x = 12,070,977,424/50,398
6. Step 6: Final answer
   x = 239,513.02