Finding the Third Proportional to 65.53 and 142.45

Step by Step Solution

1. Step 1: Write the proportion equation
   65.53 : 142.45 = 142.45 : x
2. Step 2: Convert to fraction form
   65.53/142.45 = 142.45/x
3. Step 3: Cross multiply
   65.53x = 142.45 × 142.45
4. Step 4: Simplify right side
   65.53x = 20,292.89
5. Step 5: Solve for x
   x = 20,292.89/65.53
6. Step 6: Final answer
   x = 309.67