Finding the Third Proportional to 47,777 and 111,567

Step by Step Solution

1. Step 1: Write the proportion equation
   47,777 : 111,567 = 111,567 : x
2. Step 2: Convert to fraction form
   47,777/111,567 = 111,567/x
3. Step 3: Cross multiply
   47,777x = 111,567 × 111,567
4. Step 4: Simplify right side
   47,777x = 12,447,195,489
5. Step 5: Solve for x
   x = 12,447,195,489/47,777
6. Step 6: Final answer
   x = 260,526.94