Finding the Third Proportional to 406,036 and 595,782

Step by Step Solution

1. Step 1: Write the proportion equation
   406,036 : 595,782 = 595,782 : x
2. Step 2: Convert to fraction form
   406,036/595,782 = 595,782/x
3. Step 3: Cross multiply
   406,036x = 595,782 × 595,782
4. Step 4: Simplify right side
   406,036x = 354,956,191,524
5. Step 5: Solve for x
   x = 354,956,191,524/406,036
6. Step 6: Final answer
   x = 874,198.82