Finding the Third Proportional to 179.72 and 321.94

Step by Step Solution

1. Step 1: Write the proportion equation
   179.72 : 321.94 = 321.94 : x
2. Step 2: Convert to fraction form
   179.72/321.94 = 321.94/x
3. Step 3: Cross multiply
   179.72x = 321.94 × 321.94
4. Step 4: Simplify right side
   179.72x = 103,643.75
5. Step 5: Solve for x
   x = 103,643.75/179.72
6. Step 6: Final answer
   x = 576.70