Finding the Third Proportional to 300,144 and 655,584

Step by Step Solution

1. Step 1: Write the proportion equation
   300,144 : 655,584 = 655,584 : x
2. Step 2: Convert to fraction form
   300,144/655,584 = 655,584/x
3. Step 3: Cross multiply
   300,144x = 655,584 × 655,584
4. Step 4: Simplify right side
   300,144x = 429,790,381,056
5. Step 5: Solve for x
   x = 429,790,381,056/300,144
6. Step 6: Final answer
   x = 1,431,947.27