Finding the Third Proportional to 105.48 and 245.37

Step by Step Solution

1. Step 1: Write the proportion equation
   105.48 : 245.37 = 245.37 : x
2. Step 2: Convert to fraction form
   105.48/245.37 = 245.37/x
3. Step 3: Cross multiply
   105.48x = 245.37 × 245.37
4. Step 4: Simplify right side
   105.48x = 60,207.93
5. Step 5: Solve for x
   x = 60,207.93/105.48
6. Step 6: Final answer
   x = 570.79