Finding the Third Proportional to 321,930 and 498,019.50

Step by Step Solution

1. Step 1: Write the proportion equation
   321,930 : 498,019.50 = 498,019.50 : x
2. Step 2: Convert to fraction form
   321,930/498,019.50 = 498,019.50/x
3. Step 3: Cross multiply
   321,930x = 498,019.50 × 498,019.50
4. Step 4: Simplify right side
   321,930x = 248,023,422,380.25
5. Step 5: Solve for x
   x = 248,023,422,380.25/321,930
6. Step 6: Final answer
   x = 770,426.56