Finding the Third Proportional to 314,442 and 498,150

Step by Step Solution

1. Step 1: Write the proportion equation
   314,442 : 498,150 = 498,150 : x
2. Step 2: Convert to fraction form
   314,442/498,150 = 498,150/x
3. Step 3: Cross multiply
   314,442x = 498,150 × 498,150
4. Step 4: Simplify right side
   314,442x = 248,153,422,500
5. Step 5: Solve for x
   x = 248,153,422,500/314,442
6. Step 6: Final answer
   x = 789,186.63