Finding the Third Proportional to 210,414 and 459,384

Step by Step Solution

1. Step 1: Write the proportion equation
   210,414 : 459,384 = 459,384 : x
2. Step 2: Convert to fraction form
   210,414/459,384 = 459,384/x
3. Step 3: Cross multiply
   210,414x = 459,384 × 459,384
4. Step 4: Simplify right side
   210,414x = 211,033,659,456
5. Step 5: Solve for x
   x = 211,033,659,456/210,414
6. Step 6: Final answer
   x = 1,002,944.95