Finding the Third Proportional to 66.05 and 142.62

Step by Step Solution

1. Step 1: Write the proportion equation
   66.05 : 142.62 = 142.62 : x
2. Step 2: Convert to fraction form
   66.05/142.62 = 142.62/x
3. Step 3: Cross multiply
   66.05x = 142.62 × 142.62
4. Step 4: Simplify right side
   66.05x = 20,340.50
5. Step 5: Solve for x
   x = 20,340.50/66.05
6. Step 6: Final answer
   x = 307.96