Finding the Third Proportional to 256.13 and 385.31

Step by Step Solution

1. Step 1: Write the proportion equation
   256.13 : 385.31 = 385.31 : x
2. Step 2: Convert to fraction form
   256.13/385.31 = 385.31/x
3. Step 3: Cross multiply
   256.13x = 385.31 × 385.31
4. Step 4: Simplify right side
   256.13x = 148,465.72
5. Step 5: Solve for x
   x = 148,465.72/256.13
6. Step 6: Final answer
   x = 579.66