Finding the Third Proportional to 174,143.25 and 355,666

Step by Step Solution

1. Step 1: Write the proportion equation
   174,143.25 : 355,666 = 355,666 : x
2. Step 2: Convert to fraction form
   174,143.25/355,666 = 355,666/x
3. Step 3: Cross multiply
   174,143.25x = 355,666 × 355,666
4. Step 4: Simplify right side
   174,143.25x = 126,498,303,556
5. Step 5: Solve for x
   x = 126,498,303,556/174,143.25
6. Step 6: Final answer
   x = 726,403.71