Finding the Third Proportional to 506.41 and 680.59

Step by Step Solution

1. Step 1: Write the proportion equation
   506.41 : 680.59 = 680.59 : x
2. Step 2: Convert to fraction form
   506.41/680.59 = 680.59/x
3. Step 3: Cross multiply
   506.41x = 680.59 × 680.59
4. Step 4: Simplify right side
   506.41x = 463,202.54
5. Step 5: Solve for x
   x = 463,202.54/506.41
6. Step 6: Final answer
   x = 914.68