Finding the Third Proportional to 269,620 and 401,834

Step by Step Solution

1. Step 1: Write the proportion equation
   269,620 : 401,834 = 401,834 : x
2. Step 2: Convert to fraction form
   269,620/401,834 = 401,834/x
3. Step 3: Cross multiply
   269,620x = 401,834 × 401,834
4. Step 4: Simplify right side
   269,620x = 161,470,563,556
5. Step 5: Solve for x
   x = 161,470,563,556/269,620
6. Step 6: Final answer
   x = 598,882.00