Finding the Third Proportional to 51,843 and 113,406

Step by Step Solution

1. Step 1: Write the proportion equation
   51,843 : 113,406 = 113,406 : x
2. Step 2: Convert to fraction form
   51,843/113,406 = 113,406/x
3. Step 3: Cross multiply
   51,843x = 113,406 × 113,406
4. Step 4: Simplify right side
   51,843x = 12,860,920,836
5. Step 5: Solve for x
   x = 12,860,920,836/51,843
6. Step 6: Final answer
   x = 248,074.39