Finding the Third Proportional to 493.31 and 596.06

Step by Step Solution

1. Step 1: Write the proportion equation
   493.31 : 596.06 = 596.06 : x
2. Step 2: Convert to fraction form
   493.31/596.06 = 596.06/x
3. Step 3: Cross multiply
   493.31x = 596.06 × 596.06
4. Step 4: Simplify right side
   493.31x = 355,290.50
5. Step 5: Solve for x
   x = 355,290.50/493.31
6. Step 6: Final answer
   x = 720.21