Finding the Third Proportional to 111.47 and 253.94

Step by Step Solution

1. Step 1: Write the proportion equation
   111.47 : 253.94 = 253.94 : x
2. Step 2: Convert to fraction form
   111.47/253.94 = 253.94/x
3. Step 3: Cross multiply
   111.47x = 253.94 × 253.94
4. Step 4: Simplify right side
   111.47x = 64,484.25
5. Step 5: Solve for x
   x = 64,484.25/111.47
6. Step 6: Final answer
   x = 578.50