Finding the Third Proportional to 262.69 and 656.72

Step by Step Solution

1. Step 1: Write the proportion equation
   262.69 : 656.72 = 656.72 : x
2. Step 2: Convert to fraction form
   262.69/656.72 = 656.72/x
3. Step 3: Cross multiply
   262.69x = 656.72 × 656.72
4. Step 4: Simplify right side
   262.69x = 431,279.52
5. Step 5: Solve for x
   x = 431,279.52/262.69
6. Step 6: Final answer
   x = 1,641.80