Finding the Third Proportional to 150,777 and 317,049

Step by Step Solution

1. Step 1: Write the proportion equation
   150,777 : 317,049 = 317,049 : x
2. Step 2: Convert to fraction form
   150,777/317,049 = 317,049/x
3. Step 3: Cross multiply
   150,777x = 317,049 × 317,049
4. Step 4: Simplify right side
   150,777x = 100,520,068,401
5. Step 5: Solve for x
   x = 100,520,068,401/150,777
6. Step 6: Final answer
   x = 666,680.38