Finding the Third Proportional to 225,608 and 490,096

Step by Step Solution

1. Step 1: Write the proportion equation
   225,608 : 490,096 = 490,096 : x
2. Step 2: Convert to fraction form
   225,608/490,096 = 490,096/x
3. Step 3: Cross multiply
   225,608x = 490,096 × 490,096
4. Step 4: Simplify right side
   225,608x = 240,194,089,216
5. Step 5: Solve for x
   x = 240,194,089,216/225,608
6. Step 6: Final answer
   x = 1,064,652.36