Finding the Third Proportional to 262.56 and 546.69

Step by Step Solution

1. Step 1: Write the proportion equation
   262.56 : 546.69 = 546.69 : x
2. Step 2: Convert to fraction form
   262.56/546.69 = 546.69/x
3. Step 3: Cross multiply
   262.56x = 546.69 × 546.69
4. Step 4: Simplify right side
   262.56x = 298,867.22
5. Step 5: Solve for x
   x = 298,867.22/262.56
6. Step 6: Final answer
   x = 1,138.27