Finding the Third Proportional to 51,264 and 111,280

Step by Step Solution

1. Step 1: Write the proportion equation
   51,264 : 111,280 = 111,280 : x
2. Step 2: Convert to fraction form
   51,264/111,280 = 111,280/x
3. Step 3: Cross multiply
   51,264x = 111,280 × 111,280
4. Step 4: Simplify right side
   51,264x = 12,383,238,400
5. Step 5: Solve for x
   x = 12,383,238,400/51,264
6. Step 6: Final answer
   x = 241,558.18