Finding the Third Proportional to 47,880 and 111,828

Step by Step Solution

1. Step 1: Write the proportion equation
   47,880 : 111,828 = 111,828 : x
2. Step 2: Convert to fraction form
   47,880/111,828 = 111,828/x
3. Step 3: Cross multiply
   47,880x = 111,828 × 111,828
4. Step 4: Simplify right side
   47,880x = 12,505,501,584
5. Step 5: Solve for x
   x = 12,505,501,584/47,880
6. Step 6: Final answer
   x = 261,184.24