Finding the Third Proportional to 532.69 and 810.56

Step by Step Solution

1. Step 1: Write the proportion equation
   532.69 : 810.56 = 810.56 : x
2. Step 2: Convert to fraction form
   532.69/810.56 = 810.56/x
3. Step 3: Cross multiply
   532.69x = 810.56 × 810.56
4. Step 4: Simplify right side
   532.69x = 657,011.57
5. Step 5: Solve for x
   x = 657,011.57/532.69
6. Step 6: Final answer
   x = 1,233.39