Finding the Third Proportional to 150,414 and 321,564

Step by Step Solution

1. Step 1: Write the proportion equation
   150,414 : 321,564 = 321,564 : x
2. Step 2: Convert to fraction form
   150,414/321,564 = 321,564/x
3. Step 3: Cross multiply
   150,414x = 321,564 × 321,564
4. Step 4: Simplify right side
   150,414x = 103,403,406,096
5. Step 5: Solve for x
   x = 103,403,406,096/150,414
6. Step 6: Final answer
   x = 687,458.65