Finding the Third Proportional to 300.38 and 453.94

Step by Step Solution

1. Step 1: Write the proportion equation
   300.38 : 453.94 = 453.94 : x
2. Step 2: Convert to fraction form
   300.38/453.94 = 453.94/x
3. Step 3: Cross multiply
   300.38x = 453.94 × 453.94
4. Step 4: Simplify right side
   300.38x = 206,059.25
5. Step 5: Solve for x
   x = 206,059.25/300.38
6. Step 6: Final answer
   x = 686.01