Finding the Third Proportional to 321.94 and 460.22

Step by Step Solution

1. Step 1: Write the proportion equation
   321.94 : 460.22 = 460.22 : x
2. Step 2: Convert to fraction form
   321.94/460.22 = 460.22/x
3. Step 3: Cross multiply
   321.94x = 460.22 × 460.22
4. Step 4: Simplify right side
   321.94x = 211,801.30
5. Step 5: Solve for x
   x = 211,801.30/321.94
6. Step 6: Final answer
   x = 657.90