Finding the Third Proportional to 168.05 and 312.89

Step by Step Solution

1. Step 1: Write the proportion equation
   168.05 : 312.89 = 312.89 : x
2. Step 2: Convert to fraction form
   168.05/312.89 = 312.89/x
3. Step 3: Cross multiply
   168.05x = 312.89 × 312.89
4. Step 4: Simplify right side
   168.05x = 97,900.54
5. Step 5: Solve for x
   x = 97,900.54/168.05
6. Step 6: Final answer
   x = 582.58