Finding the Third Proportional to 210,626 and 463,948

Step by Step Solution

1. Step 1: Write the proportion equation
   210,626 : 463,948 = 463,948 : x
2. Step 2: Convert to fraction form
   210,626/463,948 = 463,948/x
3. Step 3: Cross multiply
   210,626x = 463,948 × 463,948
4. Step 4: Simplify right side
   210,626x = 215,247,746,704
5. Step 5: Solve for x
   x = 215,247,746,704/210,626
6. Step 6: Final answer
   x = 1,021,942.91