Finding the Third Proportional to 404.63 and 542.25

Step by Step Solution

1. Step 1: Write the proportion equation
   404.63 : 542.25 = 542.25 : x
2. Step 2: Convert to fraction form
   404.63/542.25 = 542.25/x
3. Step 3: Cross multiply
   404.63x = 542.25 × 542.25
4. Step 4: Simplify right side
   404.63x = 294,035.06
5. Step 5: Solve for x
   x = 294,035.06/404.63
6. Step 6: Final answer
   x = 726.69