Finding the Third Proportional to 169.59 and 315.46

Step by Step Solution

1. Step 1: Write the proportion equation
   169.59 : 315.46 = 315.46 : x
2. Step 2: Convert to fraction form
   169.59/315.46 = 315.46/x
3. Step 3: Cross multiply
   169.59x = 315.46 × 315.46
4. Step 4: Simplify right side
   169.59x = 99,513.14
5. Step 5: Solve for x
   x = 99,513.14/169.59
6. Step 6: Final answer
   x = 586.77