Finding the Third Proportional to 150,686 and 321,364

Step by Step Solution

1. Step 1: Write the proportion equation
   150,686 : 321,364 = 321,364 : x
2. Step 2: Convert to fraction form
   150,686/321,364 = 321,364/x
3. Step 3: Cross multiply
   150,686x = 321,364 × 321,364
4. Step 4: Simplify right side
   150,686x = 103,274,820,496
5. Step 5: Solve for x
   x = 103,274,820,496/150,686
6. Step 6: Final answer
   x = 685,364.40