Finding the Third Proportional to 419,904 and 664,969.50

Step by Step Solution

1. Step 1: Write the proportion equation
   419,904 : 664,969.50 = 664,969.50 : x
2. Step 2: Convert to fraction form
   419,904/664,969.50 = 664,969.50/x
3. Step 3: Cross multiply
   419,904x = 664,969.50 × 664,969.50
4. Step 4: Simplify right side
   419,904x = 442,184,435,930.25
5. Step 5: Solve for x
   x = 442,184,435,930.25/419,904
6. Step 6: Final answer
   x = 1,053,060.79