Finding the Third Proportional to 210,638 and 463,972

Step by Step Solution

1. Step 1: Write the proportion equation
   210,638 : 463,972 = 463,972 : x
2. Step 2: Convert to fraction form
   210,638/463,972 = 463,972/x
3. Step 3: Cross multiply
   210,638x = 463,972 × 463,972
4. Step 4: Simplify right side
   210,638x = 215,270,016,784
5. Step 5: Solve for x
   x = 215,270,016,784/210,638
6. Step 6: Final answer
   x = 1,021,990.41