Finding the Third Proportional to 51,978 and 113,828

Step by Step Solution

1. Step 1: Write the proportion equation
   51,978 : 113,828 = 113,828 : x
2. Step 2: Convert to fraction form
   51,978/113,828 = 113,828/x
3. Step 3: Cross multiply
   51,978x = 113,828 × 113,828
4. Step 4: Simplify right side
   51,978x = 12,956,813,584
5. Step 5: Solve for x
   x = 12,956,813,584/51,978
6. Step 6: Final answer
   x = 249,274.95