Finding the Third Proportional to 115.88 and 251.72

Step by Step Solution

1. Step 1: Write the proportion equation
   115.88 : 251.72 = 251.72 : x
2. Step 2: Convert to fraction form
   115.88/251.72 = 251.72/x
3. Step 3: Cross multiply
   115.88x = 251.72 × 251.72
4. Step 4: Simplify right side
   115.88x = 63,362.33
5. Step 5: Solve for x
   x = 63,362.33/115.88
6. Step 6: Final answer
   x = 546.82