Finding the Third Proportional to 143.25 and 293.25

Step by Step Solution

1. Step 1: Write the proportion equation
   143.25 : 293.25 = 293.25 : x
2. Step 2: Convert to fraction form
   143.25/293.25 = 293.25/x
3. Step 3: Cross multiply
   143.25x = 293.25 × 293.25
4. Step 4: Simplify right side
   143.25x = 85,995.56
5. Step 5: Solve for x
   x = 85,995.56/143.25
6. Step 6: Final answer
   x = 600.32