Finding the Third Proportional to 51,949 and 113,006

Step by Step Solution

1. Step 1: Write the proportion equation
   51,949 : 113,006 = 113,006 : x
2. Step 2: Convert to fraction form
   51,949/113,006 = 113,006/x
3. Step 3: Cross multiply
   51,949x = 113,006 × 113,006
4. Step 4: Simplify right side
   51,949x = 12,770,356,036
5. Step 5: Solve for x
   x = 12,770,356,036/51,949
6. Step 6: Final answer
   x = 245,824.87