Finding the Third Proportional to 150,920 and 410,420

Step by Step Solution

1. Step 1: Write the proportion equation
   150,920 : 410,420 = 410,420 : x
2. Step 2: Convert to fraction form
   150,920/410,420 = 410,420/x
3. Step 3: Cross multiply
   150,920x = 410,420 × 410,420
4. Step 4: Simplify right side
   150,920x = 168,444,576,400
5. Step 5: Solve for x
   x = 168,444,576,400/150,920
6. Step 6: Final answer
   x = 1,116,118.32