Finding the Third Proportional to 300,591 and 656,586

Step by Step Solution

1. Step 1: Write the proportion equation
   300,591 : 656,586 = 656,586 : x
2. Step 2: Convert to fraction form
   300,591/656,586 = 656,586/x
3. Step 3: Cross multiply
   300,591x = 656,586 × 656,586
4. Step 4: Simplify right side
   300,591x = 431,105,175,396
5. Step 5: Solve for x
   x = 431,105,175,396/300,591
6. Step 6: Final answer
   x = 1,434,191.89