Finding the Third Proportional to 320,602 and 498,404

Step by Step Solution

1. Step 1: Write the proportion equation
   320,602 : 498,404 = 498,404 : x
2. Step 2: Convert to fraction form
   320,602/498,404 = 498,404/x
3. Step 3: Cross multiply
   320,602x = 498,404 × 498,404
4. Step 4: Simplify right side
   320,602x = 248,406,547,216
5. Step 5: Solve for x
   x = 248,406,547,216/320,602
6. Step 6: Final answer
   x = 774,812.84