Finding the Third Proportional to 66.23 and 145.55

Step by Step Solution

1. Step 1: Write the proportion equation
   66.23 : 145.55 = 145.55 : x
2. Step 2: Convert to fraction form
   66.23/145.55 = 145.55/x
3. Step 3: Cross multiply
   66.23x = 145.55 × 145.55
4. Step 4: Simplify right side
   66.23x = 21,183.89
5. Step 5: Solve for x
   x = 21,183.89/66.23
6. Step 6: Final answer
   x = 319.83