Finding the Third Proportional to 450,126 and 680,008

Step by Step Solution

1. Step 1: Write the proportion equation
   450,126 : 680,008 = 680,008 : x
2. Step 2: Convert to fraction form
   450,126/680,008 = 680,008/x
3. Step 3: Cross multiply
   450,126x = 680,008 × 680,008
4. Step 4: Simplify right side
   450,126x = 462,410,880,064
5. Step 5: Solve for x
   x = 462,410,880,064/450,126
6. Step 6: Final answer
   x = 1,027,292.09