Finding the Third Proportional to 359.06 and 708.56

Step by Step Solution

1. Step 1: Write the proportion equation
   359.06 : 708.56 = 708.56 : x
2. Step 2: Convert to fraction form
   359.06/708.56 = 708.56/x
3. Step 3: Cross multiply
   359.06x = 708.56 × 708.56
4. Step 4: Simplify right side
   359.06x = 502,060.82
5. Step 5: Solve for x
   x = 502,060.82/359.06
6. Step 6: Final answer
   x = 1,398.25