Finding the Third Proportional to 265.50 and 571.69

Step by Step Solution

1. Step 1: Write the proportion equation
   265.50 : 571.69 = 571.69 : x
2. Step 2: Convert to fraction form
   265.50/571.69 = 571.69/x
3. Step 3: Cross multiply
   265.50x = 571.69 × 571.69
4. Step 4: Simplify right side
   265.50x = 326,826.60
5. Step 5: Solve for x
   x = 326,826.60/265.50
6. Step 6: Final answer
   x = 1,230.99