Finding the Third Proportional to 268,081.50 and 414,718.50

Step by Step Solution

1. Step 1: Write the proportion equation
   268,081.50 : 414,718.50 = 414,718.50 : x
2. Step 2: Convert to fraction form
   268,081.50/414,718.50 = 414,718.50/x
3. Step 3: Cross multiply
   268,081.50x = 414,718.50 × 414,718.50
4. Step 4: Simplify right side
   268,081.50x = 171,991,434,242.25
5. Step 5: Solve for x
   x = 171,991,434,242.25/268,081.50
6. Step 6: Final answer
   x = 641,563.98