Finding the Third Proportional to 406,109 and 595,308

Step by Step Solution

1. Step 1: Write the proportion equation
   406,109 : 595,308 = 595,308 : x
2. Step 2: Convert to fraction form
   406,109/595,308 = 595,308/x
3. Step 3: Cross multiply
   406,109x = 595,308 × 595,308
4. Step 4: Simplify right side
   406,109x = 354,391,614,864
5. Step 5: Solve for x
   x = 354,391,614,864/406,109
6. Step 6: Final answer
   x = 872,651.47