Finding the Third Proportional to 379.50 and 600.75

Step by Step Solution

1. Step 1: Write the proportion equation
   379.50 : 600.75 = 600.75 : x
2. Step 2: Convert to fraction form
   379.50/600.75 = 600.75/x
3. Step 3: Cross multiply
   379.50x = 600.75 × 600.75
4. Step 4: Simplify right side
   379.50x = 360,900.56
5. Step 5: Solve for x
   x = 360,900.56/379.50
6. Step 6: Final answer
   x = 950.99