Finding the Third Proportional to 66.23 and 141.86

Step by Step Solution

1. Step 1: Write the proportion equation
   66.23 : 141.86 = 141.86 : x
2. Step 2: Convert to fraction form
   66.23/141.86 = 141.86/x
3. Step 3: Cross multiply
   66.23x = 141.86 × 141.86
4. Step 4: Simplify right side
   66.23x = 20,122.97
5. Step 5: Solve for x
   x = 20,122.97/66.23
6. Step 6: Final answer
   x = 303.81