Finding the Third Proportional to 300,856 and 655,686

Step by Step Solution

1. Step 1: Write the proportion equation
   300,856 : 655,686 = 655,686 : x
2. Step 2: Convert to fraction form
   300,856/655,686 = 655,686/x
3. Step 3: Cross multiply
   300,856x = 655,686 × 655,686
4. Step 4: Simplify right side
   300,856x = 429,924,130,596
5. Step 5: Solve for x
   x = 429,924,130,596/300,856
6. Step 6: Final answer
   x = 1,429,003.01