Finding the Third Proportional to 320,517 and 498,271.50

Step by Step Solution

1. Step 1: Write the proportion equation
   320,517 : 498,271.50 = 498,271.50 : x
2. Step 2: Convert to fraction form
   320,517/498,271.50 = 498,271.50/x
3. Step 3: Cross multiply
   320,517x = 498,271.50 × 498,271.50
4. Step 4: Simplify right side
   320,517x = 248,274,487,712.25
5. Step 5: Solve for x
   x = 248,274,487,712.25/320,517
6. Step 6: Final answer
   x = 774,606.30