Finding the Third Proportional to 140.50 and 304.50

Step by Step Solution

1. Step 1: Write the proportion equation
   140.50 : 304.50 = 304.50 : x
2. Step 2: Convert to fraction form
   140.50/304.50 = 304.50/x
3. Step 3: Cross multiply
   140.50x = 304.50 × 304.50
4. Step 4: Simplify right side
   140.50x = 92,720.25
5. Step 5: Solve for x
   x = 92,720.25/140.50
6. Step 6: Final answer
   x = 659.93