Finding the Third Proportional to 51,734 and 113,404

Step by Step Solution

1. Step 1: Write the proportion equation
   51,734 : 113,404 = 113,404 : x
2. Step 2: Convert to fraction form
   51,734/113,404 = 113,404/x
3. Step 3: Cross multiply
   51,734x = 113,404 × 113,404
4. Step 4: Simplify right side
   51,734x = 12,860,467,216
5. Step 5: Solve for x
   x = 12,860,467,216/51,734
6. Step 6: Final answer
   x = 248,588.30