Finding the Third Proportional to 250,366.50 and 381,856

Step by Step Solution

1. Step 1: Write the proportion equation
   250,366.50 : 381,856 = 381,856 : x
2. Step 2: Convert to fraction form
   250,366.50/381,856 = 381,856/x
3. Step 3: Cross multiply
   250,366.50x = 381,856 × 381,856
4. Step 4: Simplify right side
   250,366.50x = 145,814,004,736
5. Step 5: Solve for x
   x = 145,814,004,736/250,366.50
6. Step 6: Final answer
   x = 582,402.22