Finding the Third Proportional to 165,044.25 and 360,443.25

Step by Step Solution

1. Step 1: Write the proportion equation
   165,044.25 : 360,443.25 = 360,443.25 : x
2. Step 2: Convert to fraction form
   165,044.25/360,443.25 = 360,443.25/x
3. Step 3: Cross multiply
   165,044.25x = 360,443.25 × 360,443.25
4. Step 4: Simplify right side
   165,044.25x = 129,919,336,470.56
5. Step 5: Solve for x
   x = 129,919,336,470.56/165,044.25
6. Step 6: Final answer
   x = 787,178.81