Finding the Third Proportional to 165,723 and 259,243.50

Step by Step Solution

1. Step 1: Write the proportion equation
   165,723 : 259,243.50 = 259,243.50 : x
2. Step 2: Convert to fraction form
   165,723/259,243.50 = 259,243.50/x
3. Step 3: Cross multiply
   165,723x = 259,243.50 × 259,243.50
4. Step 4: Simplify right side
   165,723x = 67,207,192,292.25
5. Step 5: Solve for x
   x = 67,207,192,292.25/165,723
6. Step 6: Final answer
   x = 405,539.32