Finding the Third Proportional to 111,384 and 241,200

Step by Step Solution

1. Step 1: Write the proportion equation
   111,384 : 241,200 = 241,200 : x
2. Step 2: Convert to fraction form
   111,384/241,200 = 241,200/x
3. Step 3: Cross multiply
   111,384x = 241,200 × 241,200
4. Step 4: Simplify right side
   111,384x = 58,177,440,000
5. Step 5: Solve for x
   x = 58,177,440,000/111,384
6. Step 6: Final answer
   x = 522,314.16