Finding the Third Proportional to 210,624 and 463,944

Step by Step Solution

1. Step 1: Write the proportion equation
   210,624 : 463,944 = 463,944 : x
2. Step 2: Convert to fraction form
   210,624/463,944 = 463,944/x
3. Step 3: Cross multiply
   210,624x = 463,944 × 463,944
4. Step 4: Simplify right side
   210,624x = 215,244,035,136
5. Step 5: Solve for x
   x = 215,244,035,136/210,624
6. Step 6: Final answer
   x = 1,021,934.99