Finding the Third Proportional to 78.50 and 144.75

Step by Step Solution

1. Step 1: Write the proportion equation
   78.50 : 144.75 = 144.75 : x
2. Step 2: Convert to fraction form
   78.50/144.75 = 144.75/x
3. Step 3: Cross multiply
   78.50x = 144.75 × 144.75
4. Step 4: Simplify right side
   78.50x = 20,952.56
5. Step 5: Solve for x
   x = 20,952.56/78.50
6. Step 6: Final answer
   x = 266.91