Finding the Third Proportional to 210,996 and 498,078

Step by Step Solution

1. Step 1: Write the proportion equation
   210,996 : 498,078 = 498,078 : x
2. Step 2: Convert to fraction form
   210,996/498,078 = 498,078/x
3. Step 3: Cross multiply
   210,996x = 498,078 × 498,078
4. Step 4: Simplify right side
   210,996x = 248,081,694,084
5. Step 5: Solve for x
   x = 248,081,694,084/210,996
6. Step 6: Final answer
   x = 1,175,764.92