Finding the Third Proportional to 322.31 and 469.69

Step by Step Solution

1. Step 1: Write the proportion equation
   322.31 : 469.69 = 469.69 : x
2. Step 2: Convert to fraction form
   322.31/469.69 = 469.69/x
3. Step 3: Cross multiply
   322.31x = 469.69 × 469.69
4. Step 4: Simplify right side
   322.31x = 220,606.35
5. Step 5: Solve for x
   x = 220,606.35/322.31
6. Step 6: Final answer
   x = 684.45