Finding the Third Proportional to 51,828 and 111,582

Step by Step Solution

1. Step 1: Write the proportion equation
   51,828 : 111,582 = 111,582 : x
2. Step 2: Convert to fraction form
   51,828/111,582 = 111,582/x
3. Step 3: Cross multiply
   51,828x = 111,582 × 111,582
4. Step 4: Simplify right side
   51,828x = 12,450,542,724
5. Step 5: Solve for x
   x = 12,450,542,724/51,828
6. Step 6: Final answer
   x = 240,228.11