Finding the Third Proportional to 47,782 and 111,579

Step by Step Solution

1. Step 1: Write the proportion equation
   47,782 : 111,579 = 111,579 : x
2. Step 2: Convert to fraction form
   47,782/111,579 = 111,579/x
3. Step 3: Cross multiply
   47,782x = 111,579 × 111,579
4. Step 4: Simplify right side
   47,782x = 12,449,873,241
5. Step 5: Solve for x
   x = 12,449,873,241/47,782
6. Step 6: Final answer
   x = 260,555.72