Finding the Third Proportional to 300,288 and 654,144

Step by Step Solution

1. Step 1: Write the proportion equation
   300,288 : 654,144 = 654,144 : x
2. Step 2: Convert to fraction form
   300,288/654,144 = 654,144/x
3. Step 3: Cross multiply
   300,288x = 654,144 × 654,144
4. Step 4: Simplify right side
   300,288x = 427,904,372,736
5. Step 5: Solve for x
   x = 427,904,372,736/300,288
6. Step 6: Final answer
   x = 1,424,979.93