Finding the Third Proportional to 361.27 and 526.78

Step by Step Solution

1. Step 1: Write the proportion equation
   361.27 : 526.78 = 526.78 : x
2. Step 2: Convert to fraction form
   361.27/526.78 = 526.78/x
3. Step 3: Cross multiply
   361.27x = 526.78 × 526.78
4. Step 4: Simplify right side
   361.27x = 277,498.49
5. Step 5: Solve for x
   x = 277,498.49/361.27
6. Step 6: Final answer
   x = 768.13