Finding the Third Proportional to 51,710 and 113,896

Step by Step Solution

1. Step 1: Write the proportion equation
   51,710 : 113,896 = 113,896 : x
2. Step 2: Convert to fraction form
   51,710/113,896 = 113,896/x
3. Step 3: Cross multiply
   51,710x = 113,896 × 113,896
4. Step 4: Simplify right side
   51,710x = 12,972,298,816
5. Step 5: Solve for x
   x = 12,972,298,816/51,710
6. Step 6: Final answer
   x = 250,866.35