Finding the Third Proportional to 150,436 and 320,191

Step by Step Solution

1. Step 1: Write the proportion equation
   150,436 : 320,191 = 320,191 : x
2. Step 2: Convert to fraction form
   150,436/320,191 = 320,191/x
3. Step 3: Cross multiply
   150,436x = 320,191 × 320,191
4. Step 4: Simplify right side
   150,436x = 102,522,276,481
5. Step 5: Solve for x
   x = 102,522,276,481/150,436
6. Step 6: Final answer
   x = 681,500.95