Finding the Third Proportional to 51,618 and 113,077

Step by Step Solution

1. Step 1: Write the proportion equation
   51,618 : 113,077 = 113,077 : x
2. Step 2: Convert to fraction form
   51,618/113,077 = 113,077/x
3. Step 3: Cross multiply
   51,618x = 113,077 × 113,077
4. Step 4: Simplify right side
   51,618x = 12,786,407,929
5. Step 5: Solve for x
   x = 12,786,407,929/51,618
6. Step 6: Final answer
   x = 247,712.19