Finding the Third Proportional to 140.50 and 298.75

Step by Step Solution

1. Step 1: Write the proportion equation
   140.50 : 298.75 = 298.75 : x
2. Step 2: Convert to fraction form
   140.50/298.75 = 298.75/x
3. Step 3: Cross multiply
   140.50x = 298.75 × 298.75
4. Step 4: Simplify right side
   140.50x = 89,251.56
5. Step 5: Solve for x
   x = 89,251.56/140.50
6. Step 6: Final answer
   x = 635.24