Finding the Third Proportional to 300.38 and 460.69

Step by Step Solution

1. Step 1: Write the proportion equation
   300.38 : 460.69 = 460.69 : x
2. Step 2: Convert to fraction form
   300.38/460.69 = 460.69/x
3. Step 3: Cross multiply
   300.38x = 460.69 × 460.69
4. Step 4: Simplify right side
   300.38x = 212,232.97
5. Step 5: Solve for x
   x = 212,232.97/300.38
6. Step 6: Final answer
   x = 706.56