Finding the Third Proportional to 300.38 and 464.63

Step by Step Solution

1. Step 1: Write the proportion equation
   300.38 : 464.63 = 464.63 : x
2. Step 2: Convert to fraction form
   300.38/464.63 = 464.63/x
3. Step 3: Cross multiply
   300.38x = 464.63 × 464.63
4. Step 4: Simplify right side
   300.38x = 215,876.39
5. Step 5: Solve for x
   x = 215,876.39/300.38
6. Step 6: Final answer
   x = 718.69