Finding the Third Proportional to 115.52 and 256.43

Step by Step Solution

1. Step 1: Write the proportion equation
   115.52 : 256.43 = 256.43 : x
2. Step 2: Convert to fraction form
   115.52/256.43 = 256.43/x
3. Step 3: Cross multiply
   115.52x = 256.43 × 256.43
4. Step 4: Simplify right side
   115.52x = 65,756.18
5. Step 5: Solve for x
   x = 65,756.18/115.52
6. Step 6: Final answer
   x = 569.20