Finding the Third Proportional to 165,608.25 and 359,222.25

Step by Step Solution

1. Step 1: Write the proportion equation
   165,608.25 : 359,222.25 = 359,222.25 : x
2. Step 2: Convert to fraction form
   165,608.25/359,222.25 = 359,222.25/x
3. Step 3: Cross multiply
   165,608.25x = 359,222.25 × 359,222.25
4. Step 4: Simplify right side
   165,608.25x = 129,040,624,895.06
5. Step 5: Solve for x
   x = 129,040,624,895.06/165,608.25
6. Step 6: Final answer
   x = 779,192.01