Finding the Third Proportional to 172.38 and 362.38

Step by Step Solution

1. Step 1: Write the proportion equation
   172.38 : 362.38 = 362.38 : x
2. Step 2: Convert to fraction form
   172.38/362.38 = 362.38/x
3. Step 3: Cross multiply
   172.38x = 362.38 × 362.38
4. Step 4: Simplify right side
   172.38x = 131,315.64
5. Step 5: Solve for x
   x = 131,315.64/172.38
6. Step 6: Final answer
   x = 761.80