Finding the Third Proportional to 150,580 and 321,152

Step by Step Solution

1. Step 1: Write the proportion equation
   150,580 : 321,152 = 321,152 : x
2. Step 2: Convert to fraction form
   150,580/321,152 = 321,152/x
3. Step 3: Cross multiply
   150,580x = 321,152 × 321,152
4. Step 4: Simplify right side
   150,580x = 103,138,607,104
5. Step 5: Solve for x
   x = 103,138,607,104/150,580
6. Step 6: Final answer
   x = 684,942.27