Finding the Third Proportional to 66.45 and 142.38

Step by Step Solution

1. Step 1: Write the proportion equation
   66.45 : 142.38 = 142.38 : x
2. Step 2: Convert to fraction form
   66.45/142.38 = 142.38/x
3. Step 3: Cross multiply
   66.45x = 142.38 × 142.38
4. Step 4: Simplify right side
   66.45x = 20,272.87
5. Step 5: Solve for x
   x = 20,272.87/66.45
6. Step 6: Final answer
   x = 305.11