Finding the Third Proportional to 527.47 and 800.69

Step by Step Solution

1. Step 1: Write the proportion equation
   527.47 : 800.69 = 800.69 : x
2. Step 2: Convert to fraction form
   527.47/800.69 = 800.69/x
3. Step 3: Cross multiply
   527.47x = 800.69 × 800.69
4. Step 4: Simplify right side
   527.47x = 641,100.47
5. Step 5: Solve for x
   x = 641,100.47/527.47
6. Step 6: Final answer
   x = 1,215.43