Finding the Third Proportional to 251.86 and 548.86

Step by Step Solution

1. Step 1: Write the proportion equation
   251.86 : 548.86 = 548.86 : x
2. Step 2: Convert to fraction form
   251.86/548.86 = 548.86/x
3. Step 3: Cross multiply
   251.86x = 548.86 × 548.86
4. Step 4: Simplify right side
   251.86x = 301,246.61
5. Step 5: Solve for x
   x = 301,246.61/251.86
6. Step 6: Final answer
   x = 1,196.09