Finding the Third Proportional to 256.50 and 383.81

Step by Step Solution

1. Step 1: Write the proportion equation
   256.50 : 383.81 = 383.81 : x
2. Step 2: Convert to fraction form
   256.50/383.81 = 383.81/x
3. Step 3: Cross multiply
   256.50x = 383.81 × 383.81
4. Step 4: Simplify right side
   256.50x = 147,312.04
5. Step 5: Solve for x
   x = 147,312.04/256.50
6. Step 6: Final answer
   x = 574.32