Finding the Third Proportional to 105.06 and 237.69

Step by Step Solution

1. Step 1: Write the proportion equation
   105.06 : 237.69 = 237.69 : x
2. Step 2: Convert to fraction form
   105.06/237.69 = 237.69/x
3. Step 3: Cross multiply
   105.06x = 237.69 × 237.69
4. Step 4: Simplify right side
   105.06x = 56,495.35
5. Step 5: Solve for x
   x = 56,495.35/105.06
6. Step 6: Final answer
   x = 537.73