Finding the Third Proportional to 208,476 and 406,582

Step by Step Solution

1. Step 1: Write the proportion equation
   208,476 : 406,582 = 406,582 : x
2. Step 2: Convert to fraction form
   208,476/406,582 = 406,582/x
3. Step 3: Cross multiply
   208,476x = 406,582 × 406,582
4. Step 4: Simplify right side
   208,476x = 165,308,922,724
5. Step 5: Solve for x
   x = 165,308,922,724/208,476
6. Step 6: Final answer
   x = 792,939.82