Finding the Third Proportional to 461.72 and 685.92

Step by Step Solution

1. Step 1: Write the proportion equation
   461.72 : 685.92 = 685.92 : x
2. Step 2: Convert to fraction form
   461.72/685.92 = 685.92/x
3. Step 3: Cross multiply
   461.72x = 685.92 × 685.92
4. Step 4: Simplify right side
   461.72x = 470,488.82
5. Step 5: Solve for x
   x = 470,488.82/461.72
6. Step 6: Final answer
   x = 1,018.99