Finding the Third Proportional to 51,684 and 111,240

Step by Step Solution

1. Step 1: Write the proportion equation
   51,684 : 111,240 = 111,240 : x
2. Step 2: Convert to fraction form
   51,684/111,240 = 111,240/x
3. Step 3: Cross multiply
   51,684x = 111,240 × 111,240
4. Step 4: Simplify right side
   51,684x = 12,374,337,600
5. Step 5: Solve for x
   x = 12,374,337,600/51,684
6. Step 6: Final answer
   x = 239,422.99