Finding the Third Proportional to 65.25 and 142.69

Step by Step Solution

1. Step 1: Write the proportion equation
   65.25 : 142.69 = 142.69 : x
2. Step 2: Convert to fraction form
   65.25/142.69 = 142.69/x
3. Step 3: Cross multiply
   65.25x = 142.69 × 142.69
4. Step 4: Simplify right side
   65.25x = 20,359.72
5. Step 5: Solve for x
   x = 20,359.72/65.25
6. Step 6: Final answer
   x = 312.03