Finding the Third Proportional to 462,840 and 1,014,456

Step by Step Solution

1. Step 1: Write the proportion equation
   462,840 : 1,014,456 = 1,014,456 : x
2. Step 2: Convert to fraction form
   462,840/1,014,456 = 1,014,456/x
3. Step 3: Cross multiply
   462,840x = 1,014,456 × 1,014,456
4. Step 4: Simplify right side
   462,840x = 1,029,120,975,936
5. Step 5: Solve for x
   x = 1,029,120,975,936/462,840
6. Step 6: Final answer
   x = 2,223,491.87