Finding the Third Proportional to 368.24 and 524.86

Step by Step Solution

1. Step 1: Write the proportion equation
   368.24 : 524.86 = 524.86 : x
2. Step 2: Convert to fraction form
   368.24/524.86 = 524.86/x
3. Step 3: Cross multiply
   368.24x = 524.86 × 524.86
4. Step 4: Simplify right side
   368.24x = 275,476.59
5. Step 5: Solve for x
   x = 275,476.59/368.24
6. Step 6: Final answer
   x = 748.09