Finding the Third Proportional to 531.94 and 820.78

Step by Step Solution

1. Step 1: Write the proportion equation
   531.94 : 820.78 = 820.78 : x
2. Step 2: Convert to fraction form
   531.94/820.78 = 820.78/x
3. Step 3: Cross multiply
   531.94x = 820.78 × 820.78
4. Step 4: Simplify right side
   531.94x = 673,681.86
5. Step 5: Solve for x
   x = 673,681.86/531.94
6. Step 6: Final answer
   x = 1,266.47