Finding the Third Proportional to 208,479 and 406,590

Step by Step Solution

1. Step 1: Write the proportion equation
   208,479 : 406,590 = 406,590 : x
2. Step 2: Convert to fraction form
   208,479/406,590 = 406,590/x
3. Step 3: Cross multiply
   208,479x = 406,590 × 406,590
4. Step 4: Simplify right side
   208,479x = 165,315,428,100
5. Step 5: Solve for x
   x = 165,315,428,100/208,479
6. Step 6: Final answer
   x = 792,959.62