Finding the Third Proportional to 419,046 and 648,724.50

Step by Step Solution

1. Step 1: Write the proportion equation
   419,046 : 648,724.50 = 648,724.50 : x
2. Step 2: Convert to fraction form
   419,046/648,724.50 = 648,724.50/x
3. Step 3: Cross multiply
   419,046x = 648,724.50 × 648,724.50
4. Step 4: Simplify right side
   419,046x = 420,843,476,900.25
5. Step 5: Solve for x
   x = 420,843,476,900.25/419,046
6. Step 6: Final answer
   x = 1,004,289.45