Finding the Third Proportional to 262.50 and 565.69

Step by Step Solution

1. Step 1: Write the proportion equation
   262.50 : 565.69 = 565.69 : x
2. Step 2: Convert to fraction form
   262.50/565.69 = 565.69/x
3. Step 3: Cross multiply
   262.50x = 565.69 × 565.69
4. Step 4: Simplify right side
   262.50x = 320,002.35
5. Step 5: Solve for x
   x = 320,002.35/262.50
6. Step 6: Final answer
   x = 1,219.06