Finding the Third Proportional to 449,658 and 583,385.63

Step by Step Solution

1. Step 1: Write the proportion equation
   449,658 : 583,385.63 = 583,385.63 : x
2. Step 2: Convert to fraction form
   449,658/583,385.63 = 583,385.63/x
3. Step 3: Cross multiply
   449,658x = 583,385.63 × 583,385.63
4. Step 4: Simplify right side
   449,658x = 340,338,787,456.64
5. Step 5: Solve for x
   x = 340,338,787,456.64/449,658
6. Step 6: Final answer
   x = 756,883.65