Finding the Third Proportional to 664,210 and 1,057,406

Step by Step Solution

1. Step 1: Write the proportion equation
   664,210 : 1,057,406 = 1,057,406 : x
2. Step 2: Convert to fraction form
   664,210/1,057,406 = 1,057,406/x
3. Step 3: Cross multiply
   664,210x = 1,057,406 × 1,057,406
4. Step 4: Simplify right side
   664,210x = 1,118,107,448,836
5. Step 5: Solve for x
   x = 1,118,107,448,836/664,210
6. Step 6: Final answer
   x = 1,683,364.37