Finding the Third Proportional to 311.82 and 465.59

Step by Step Solution

1. Step 1: Write the proportion equation
   311.82 : 465.59 = 465.59 : x
2. Step 2: Convert to fraction form
   311.82/465.59 = 465.59/x
3. Step 3: Cross multiply
   311.82x = 465.59 × 465.59
4. Step 4: Simplify right side
   311.82x = 216,775.72
5. Step 5: Solve for x
   x = 216,775.72/311.82
6. Step 6: Final answer
   x = 695.20