Finding the Third Proportional to 300,242 and 659,533

Step by Step Solution

1. Step 1: Write the proportion equation
   300,242 : 659,533 = 659,533 : x
2. Step 2: Convert to fraction form
   300,242/659,533 = 659,533/x
3. Step 3: Cross multiply
   300,242x = 659,533 × 659,533
4. Step 4: Simplify right side
   300,242x = 434,983,778,089
5. Step 5: Solve for x
   x = 434,983,778,089/300,242
6. Step 6: Final answer
   x = 1,448,777.25