Finding the Third Proportional to 258,787 and 411,508.50

Step by Step Solution

1. Step 1: Write the proportion equation
   258,787 : 411,508.50 = 411,508.50 : x
2. Step 2: Convert to fraction form
   258,787/411,508.50 = 411,508.50/x
3. Step 3: Cross multiply
   258,787x = 411,508.50 × 411,508.50
4. Step 4: Simplify right side
   258,787x = 169,339,245,572.25
5. Step 5: Solve for x
   x = 169,339,245,572.25/258,787
6. Step 6: Final answer
   x = 654,357.62