Finding the Third Proportional to 320,596 and 498,394.50

Step by Step Solution

1. Step 1: Write the proportion equation
   320,596 : 498,394.50 = 498,394.50 : x
2. Step 2: Convert to fraction form
   320,596/498,394.50 = 498,394.50/x
3. Step 3: Cross multiply
   320,596x = 498,394.50 × 498,394.50
4. Step 4: Simplify right side
   320,596x = 248,397,077,630.25
5. Step 5: Solve for x
   x = 248,397,077,630.25/320,596
6. Step 6: Final answer
   x = 774,797.81