Finding the Third Proportional to 368.72 and 524.25

Step by Step Solution

1. Step 1: Write the proportion equation
   368.72 : 524.25 = 524.25 : x
2. Step 2: Convert to fraction form
   368.72/524.25 = 524.25/x
3. Step 3: Cross multiply
   368.72x = 524.25 × 524.25
4. Step 4: Simplify right side
   368.72x = 274,838.06
5. Step 5: Solve for x
   x = 274,838.06/368.72
6. Step 6: Final answer
   x = 745.39