Finding the Third Proportional to 450,124 and 680,005

Step by Step Solution

1. Step 1: Write the proportion equation
   450,124 : 680,005 = 680,005 : x
2. Step 2: Convert to fraction form
   450,124/680,005 = 680,005/x
3. Step 3: Cross multiply
   450,124x = 680,005 × 680,005
4. Step 4: Simplify right side
   450,124x = 462,406,800,025
5. Step 5: Solve for x
   x = 462,406,800,025/450,124
6. Step 6: Final answer
   x = 1,027,287.59