Finding the Third Proportional to 115.31 and 253.38

Step by Step Solution

1. Step 1: Write the proportion equation
   115.31 : 253.38 = 253.38 : x
2. Step 2: Convert to fraction form
   115.31/253.38 = 253.38/x
3. Step 3: Cross multiply
   115.31x = 253.38 × 253.38
4. Step 4: Simplify right side
   115.31x = 64,198.89
5. Step 5: Solve for x
   x = 64,198.89/115.31
6. Step 6: Final answer
   x = 556.74