Finding the Third Proportional to 165,608 and 359,221.50

Step by Step Solution

1. Step 1: Write the proportion equation
   165,608 : 359,221.50 = 359,221.50 : x
2. Step 2: Convert to fraction form
   165,608/359,221.50 = 359,221.50/x
3. Step 3: Cross multiply
   165,608x = 359,221.50 × 359,221.50
4. Step 4: Simplify right side
   165,608x = 129,040,086,062.25
5. Step 5: Solve for x
   x = 129,040,086,062.25/165,608
6. Step 6: Final answer
   x = 779,189.93