Finding the Third Proportional to 324,236 and 517,974.50

Step by Step Solution

1. Step 1: Write the proportion equation
   324,236 : 517,974.50 = 517,974.50 : x
2. Step 2: Convert to fraction form
   324,236/517,974.50 = 517,974.50/x
3. Step 3: Cross multiply
   324,236x = 517,974.50 × 517,974.50
4. Step 4: Simplify right side
   324,236x = 268,297,582,650.25
5. Step 5: Solve for x
   x = 268,297,582,650.25/324,236
6. Step 6: Final answer
   x = 827,476.23