Finding the Third Proportional to 256.29 and 375.89

Step by Step Solution

1. Step 1: Write the proportion equation
   256.29 : 375.89 = 375.89 : x
2. Step 2: Convert to fraction form
   256.29/375.89 = 375.89/x
3. Step 3: Cross multiply
   256.29x = 375.89 × 375.89
4. Step 4: Simplify right side
   256.29x = 141,293.76
5. Step 5: Solve for x
   x = 141,293.76/256.29
6. Step 6: Final answer
   x = 551.31