Finding the Third Proportional to 47,772 and 111,569

Step by Step Solution

1. Step 1: Write the proportion equation
   47,772 : 111,569 = 111,569 : x
2. Step 2: Convert to fraction form
   47,772/111,569 = 111,569/x
3. Step 3: Cross multiply
   47,772x = 111,569 × 111,569
4. Step 4: Simplify right side
   47,772x = 12,447,641,761
5. Step 5: Solve for x
   x = 12,447,641,761/47,772
6. Step 6: Final answer
   x = 260,563.55