Finding the Third Proportional to 419,034 and 648,706.50

Step by Step Solution

1. Step 1: Write the proportion equation
   419,034 : 648,706.50 = 648,706.50 : x
2. Step 2: Convert to fraction form
   419,034/648,706.50 = 648,706.50/x
3. Step 3: Cross multiply
   419,034x = 648,706.50 × 648,706.50
4. Step 4: Simplify right side
   419,034x = 420,820,123,142.25
5. Step 5: Solve for x
   x = 420,820,123,142.25/419,034
6. Step 6: Final answer
   x = 1,004,262.48