Finding the Third Proportional to 359.72 and 543.38

Step by Step Solution

1. Step 1: Write the proportion equation
   359.72 : 543.38 = 543.38 : x
2. Step 2: Convert to fraction form
   359.72/543.38 = 543.38/x
3. Step 3: Cross multiply
   359.72x = 543.38 × 543.38
4. Step 4: Simplify right side
   359.72x = 295,256.39
5. Step 5: Solve for x
   x = 295,256.39/359.72
6. Step 6: Final answer
   x = 820.80