Finding the Third Proportional to 213,126 and 459,456

Step by Step Solution

1. Step 1: Write the proportion equation
   213,126 : 459,456 = 459,456 : x
2. Step 2: Convert to fraction form
   213,126/459,456 = 459,456/x
3. Step 3: Cross multiply
   213,126x = 459,456 × 459,456
4. Step 4: Simplify right side
   213,126x = 211,099,815,936
5. Step 5: Solve for x
   x = 211,099,815,936/213,126
6. Step 6: Final answer
   x = 990,493.02