Finding the Third Proportional to 210,822 and 463,116

Step by Step Solution

1. Step 1: Write the proportion equation
   210,822 : 463,116 = 463,116 : x
2. Step 2: Convert to fraction form
   210,822/463,116 = 463,116/x
3. Step 3: Cross multiply
   210,822x = 463,116 × 463,116
4. Step 4: Simplify right side
   210,822x = 214,476,429,456
5. Step 5: Solve for x
   x = 214,476,429,456/210,822
6. Step 6: Final answer
   x = 1,017,334.19