Finding the Third Proportional to 105.38 and 184.69

Step by Step Solution

1. Step 1: Write the proportion equation
   105.38 : 184.69 = 184.69 : x
2. Step 2: Convert to fraction form
   105.38/184.69 = 184.69/x
3. Step 3: Cross multiply
   105.38x = 184.69 × 184.69
4. Step 4: Simplify right side
   105.38x = 34,109.47
5. Step 5: Solve for x
   x = 34,109.47/105.38
6. Step 6: Final answer
   x = 323.70