Finding the Third Proportional to 463.38 and 601.69

Step by Step Solution

1. Step 1: Write the proportion equation
   463.38 : 601.69 = 601.69 : x
2. Step 2: Convert to fraction form
   463.38/601.69 = 601.69/x
3. Step 3: Cross multiply
   463.38x = 601.69 × 601.69
4. Step 4: Simplify right side
   463.38x = 362,027.85
5. Step 5: Solve for x
   x = 362,027.85/463.38
6. Step 6: Final answer
   x = 781.28