Finding the Third Proportional to 337.78 and 705.38

Step by Step Solution

1. Step 1: Write the proportion equation
   337.78 : 705.38 = 705.38 : x
2. Step 2: Convert to fraction form
   337.78/705.38 = 705.38/x
3. Step 3: Cross multiply
   337.78x = 705.38 × 705.38
4. Step 4: Simplify right side
   337.78x = 497,553.89
5. Step 5: Solve for x
   x = 497,553.89/337.78
6. Step 6: Final answer
   x = 1,473.01