Finding the Third Proportional to 256.29 and 401.52

Step by Step Solution

1. Step 1: Write the proportion equation
   256.29 : 401.52 = 401.52 : x
2. Step 2: Convert to fraction form
   256.29/401.52 = 401.52/x
3. Step 3: Cross multiply
   256.29x = 401.52 × 401.52
4. Step 4: Simplify right side
   256.29x = 161,217.93
5. Step 5: Solve for x
   x = 161,217.93/256.29
6. Step 6: Final answer
   x = 629.05