Finding the Third Proportional to 206,828 and 455,556

Step by Step Solution

1. Step 1: Write the proportion equation
   206,828 : 455,556 = 455,556 : x
2. Step 2: Convert to fraction form
   206,828/455,556 = 455,556/x
3. Step 3: Cross multiply
   206,828x = 455,556 × 455,556
4. Step 4: Simplify right side
   206,828x = 207,531,269,136
5. Step 5: Solve for x
   x = 207,531,269,136/206,828
6. Step 6: Final answer
   x = 1,003,400.26