Finding the Third Proportional to 221,968 and 489,184

Step by Step Solution

1. Step 1: Write the proportion equation
   221,968 : 489,184 = 489,184 : x
2. Step 2: Convert to fraction form
   221,968/489,184 = 489,184/x
3. Step 3: Cross multiply
   221,968x = 489,184 × 489,184
4. Step 4: Simplify right side
   221,968x = 239,300,985,856
5. Step 5: Solve for x
   x = 239,300,985,856/221,968
6. Step 6: Final answer
   x = 1,078,087.77