Finding the Third Proportional to 510.75 and 814.69

Step by Step Solution

1. Step 1: Write the proportion equation
   510.75 : 814.69 = 814.69 : x
2. Step 2: Convert to fraction form
   510.75/814.69 = 814.69/x
3. Step 3: Cross multiply
   510.75x = 814.69 × 814.69
4. Step 4: Simplify right side
   510.75x = 663,715.72
5. Step 5: Solve for x
   x = 663,715.72/510.75
6. Step 6: Final answer
   x = 1,299.49