Finding the Third Proportional to 47,780 and 111,574

Step by Step Solution

1. Step 1: Write the proportion equation
   47,780 : 111,574 = 111,574 : x
2. Step 2: Convert to fraction form
   47,780/111,574 = 111,574/x
3. Step 3: Cross multiply
   47,780x = 111,574 × 111,574
4. Step 4: Simplify right side
   47,780x = 12,448,757,476
5. Step 5: Solve for x
   x = 12,448,757,476/47,780
6. Step 6: Final answer
   x = 260,543.27