Finding the Third Proportional to 47,772 and 111,555

Step by Step Solution

1. Step 1: Write the proportion equation
   47,772 : 111,555 = 111,555 : x
2. Step 2: Convert to fraction form
   47,772/111,555 = 111,555/x
3. Step 3: Cross multiply
   47,772x = 111,555 × 111,555
4. Step 4: Simplify right side
   47,772x = 12,444,518,025
5. Step 5: Solve for x
   x = 12,444,518,025/47,772
6. Step 6: Final answer
   x = 260,498.16