Finding the Third Proportional to 262,089 and 415,651.50

Step by Step Solution

1. Step 1: Write the proportion equation
   262,089 : 415,651.50 = 415,651.50 : x
2. Step 2: Convert to fraction form
   262,089/415,651.50 = 415,651.50/x
3. Step 3: Cross multiply
   262,089x = 415,651.50 × 415,651.50
4. Step 4: Simplify right side
   262,089x = 172,766,169,452.25
5. Step 5: Solve for x
   x = 172,766,169,452.25/262,089
6. Step 6: Final answer
   x = 659,188.94