Finding the Third Proportional to 51,842 and 113,404

Step by Step Solution

1. Step 1: Write the proportion equation
   51,842 : 113,404 = 113,404 : x
2. Step 2: Convert to fraction form
   51,842/113,404 = 113,404/x
3. Step 3: Cross multiply
   51,842x = 113,404 × 113,404
4. Step 4: Simplify right side
   51,842x = 12,860,467,216
5. Step 5: Solve for x
   x = 12,860,467,216/51,842
6. Step 6: Final answer
   x = 248,070.43