Finding the Third Proportional to 51,824 and 111,574

Step by Step Solution

1. Step 1: Write the proportion equation
   51,824 : 111,574 = 111,574 : x
2. Step 2: Convert to fraction form
   51,824/111,574 = 111,574/x
3. Step 3: Cross multiply
   51,824x = 111,574 × 111,574
4. Step 4: Simplify right side
   51,824x = 12,448,757,476
5. Step 5: Solve for x
   x = 12,448,757,476/51,824
6. Step 6: Final answer
   x = 240,212.21