Finding the Third Proportional to 320,466 and 498,181.50

Step by Step Solution

1. Step 1: Write the proportion equation
   320,466 : 498,181.50 = 498,181.50 : x
2. Step 2: Convert to fraction form
   320,466/498,181.50 = 498,181.50/x
3. Step 3: Cross multiply
   320,466x = 498,181.50 × 498,181.50
4. Step 4: Simplify right side
   320,466x = 248,184,806,942.25
5. Step 5: Solve for x
   x = 248,184,806,942.25/320,466
6. Step 6: Final answer
   x = 774,449.73