Finding the Third Proportional to 51,819 and 113,298

Step by Step Solution

1. Step 1: Write the proportion equation
   51,819 : 113,298 = 113,298 : x
2. Step 2: Convert to fraction form
   51,819/113,298 = 113,298/x
3. Step 3: Cross multiply
   51,819x = 113,298 × 113,298
4. Step 4: Simplify right side
   51,819x = 12,836,436,804
5. Step 5: Solve for x
   x = 12,836,436,804/51,819
6. Step 6: Final answer
   x = 247,716.80