Finding the Third Proportional to 338.34 and 709.59

Step by Step Solution

1. Step 1: Write the proportion equation
   338.34 : 709.59 = 709.59 : x
2. Step 2: Convert to fraction form
   338.34/709.59 = 709.59/x
3. Step 3: Cross multiply
   338.34x = 709.59 × 709.59
4. Step 4: Simplify right side
   338.34x = 503,523.29
5. Step 5: Solve for x
   x = 503,523.29/338.34
6. Step 6: Final answer
   x = 1,488.20