Finding the Third Proportional to 322,408 and 498,433.50

Step by Step Solution

1. Step 1: Write the proportion equation
   322,408 : 498,433.50 = 498,433.50 : x
2. Step 2: Convert to fraction form
   322,408/498,433.50 = 498,433.50/x
3. Step 3: Cross multiply
   322,408x = 498,433.50 × 498,433.50
4. Step 4: Simplify right side
   322,408x = 248,435,953,922.25
5. Step 5: Solve for x
   x = 248,435,953,922.25/322,408
6. Step 6: Final answer
   x = 770,563.86