Finding the Third Proportional to 175,344 and 410,616

Step by Step Solution

1. Step 1: Write the proportion equation
   175,344 : 410,616 = 410,616 : x
2. Step 2: Convert to fraction form
   175,344/410,616 = 410,616/x
3. Step 3: Cross multiply
   175,344x = 410,616 × 410,616
4. Step 4: Simplify right side
   175,344x = 168,605,499,456
5. Step 5: Solve for x
   x = 168,605,499,456/175,344
6. Step 6: Final answer
   x = 961,569.83