Finding the Third Proportional to 150,769 and 317,036

Step by Step Solution

1. Step 1: Write the proportion equation
   150,769 : 317,036 = 317,036 : x
2. Step 2: Convert to fraction form
   150,769/317,036 = 317,036/x
3. Step 3: Cross multiply
   150,769x = 317,036 × 317,036
4. Step 4: Simplify right side
   150,769x = 100,511,825,296
5. Step 5: Solve for x
   x = 100,511,825,296/150,769
6. Step 6: Final answer
   x = 666,661.09