Finding the Third Proportional to 378.56 and 601.69

Step by Step Solution

1. Step 1: Write the proportion equation
   378.56 : 601.69 = 601.69 : x
2. Step 2: Convert to fraction form
   378.56/601.69 = 601.69/x
3. Step 3: Cross multiply
   378.56x = 601.69 × 601.69
4. Step 4: Simplify right side
   378.56x = 362,027.85
5. Step 5: Solve for x
   x = 362,027.85/378.56
6. Step 6: Final answer
   x = 956.32