Finding the Third Proportional to 300.38 and 705.38

Step by Step Solution

1. Step 1: Write the proportion equation
   300.38 : 705.38 = 705.38 : x
2. Step 2: Convert to fraction form
   300.38/705.38 = 705.38/x
3. Step 3: Cross multiply
   300.38x = 705.38 × 705.38
4. Step 4: Simplify right side
   300.38x = 497,553.89
5. Step 5: Solve for x
   x = 497,553.89/300.38
6. Step 6: Final answer
   x = 1,656.44