Finding the Third Proportional to 361.55 and 436.78

Step by Step Solution

1. Step 1: Write the proportion equation
   361.55 : 436.78 = 436.78 : x
2. Step 2: Convert to fraction form
   361.55/436.78 = 436.78/x
3. Step 3: Cross multiply
   361.55x = 436.78 × 436.78
4. Step 4: Simplify right side
   361.55x = 190,777.86
5. Step 5: Solve for x
   x = 190,777.86/361.55
6. Step 6: Final answer
   x = 527.67