Finding the Third Proportional to 256,081.50 and 382,366.50

Step by Step Solution

1. Step 1: Write the proportion equation
   256,081.50 : 382,366.50 = 382,366.50 : x
2. Step 2: Convert to fraction form
   256,081.50/382,366.50 = 382,366.50/x
3. Step 3: Cross multiply
   256,081.50x = 382,366.50 × 382,366.50
4. Step 4: Simplify right side
   256,081.50x = 146,204,140,322.25
5. Step 5: Solve for x
   x = 146,204,140,322.25/256,081.50
6. Step 6: Final answer
   x = 570,928.16