Finding the Third Proportional to 210,826 and 463,124

Step by Step Solution

1. Step 1: Write the proportion equation
   210,826 : 463,124 = 463,124 : x
2. Step 2: Convert to fraction form
   210,826/463,124 = 463,124/x
3. Step 3: Cross multiply
   210,826x = 463,124 × 463,124
4. Step 4: Simplify right side
   210,826x = 214,483,839,376
5. Step 5: Solve for x
   x = 214,483,839,376/210,826
6. Step 6: Final answer
   x = 1,017,350.04