Finding the Third Proportional to 434.74 and 680.59

Step by Step Solution

1. Step 1: Write the proportion equation
   434.74 : 680.59 = 680.59 : x
2. Step 2: Convert to fraction form
   434.74/680.59 = 680.59/x
3. Step 3: Cross multiply
   434.74x = 680.59 × 680.59
4. Step 4: Simplify right side
   434.74x = 463,202.54
5. Step 5: Solve for x
   x = 463,202.54/434.74
6. Step 6: Final answer
   x = 1,065.46