Finding the Third Proportional to 344.50 and 493.38

Step by Step Solution

1. Step 1: Write the proportion equation
   344.50 : 493.38 = 493.38 : x
2. Step 2: Convert to fraction form
   344.50/493.38 = 493.38/x
3. Step 3: Cross multiply
   344.50x = 493.38 × 493.38
4. Step 4: Simplify right side
   344.50x = 243,418.89
5. Step 5: Solve for x
   x = 243,418.89/344.50
6. Step 6: Final answer
   x = 706.59