Finding the Third Proportional to 168.38 and 345.56

Step by Step Solution

1. Step 1: Write the proportion equation
   168.38 : 345.56 = 345.56 : x
2. Step 2: Convert to fraction form
   168.38/345.56 = 345.56/x
3. Step 3: Cross multiply
   168.38x = 345.56 × 345.56
4. Step 4: Simplify right side
   168.38x = 119,413.44
5. Step 5: Solve for x
   x = 119,413.44/168.38
6. Step 6: Final answer
   x = 709.21