Finding the Third Proportional to 262.50 and 541.50

Step by Step Solution

1. Step 1: Write the proportion equation
   262.50 : 541.50 = 541.50 : x
2. Step 2: Convert to fraction form
   262.50/541.50 = 541.50/x
3. Step 3: Cross multiply
   262.50x = 541.50 × 541.50
4. Step 4: Simplify right side
   262.50x = 293,222.25
5. Step 5: Solve for x
   x = 293,222.25/262.50
6. Step 6: Final answer
   x = 1,117.04