Finding the Third Proportional to 146.81 and 300.94

Step by Step Solution

1. Step 1: Write the proportion equation
   146.81 : 300.94 = 300.94 : x
2. Step 2: Convert to fraction form
   146.81/300.94 = 300.94/x
3. Step 3: Cross multiply
   146.81x = 300.94 × 300.94
4. Step 4: Simplify right side
   146.81x = 90,563.38
5. Step 5: Solve for x
   x = 90,563.38/146.81
6. Step 6: Final answer
   x = 616.86