Finding the Third Proportional to 275,499.50 and 417,408.50

Step by Step Solution

1. Step 1: Write the proportion equation
   275,499.50 : 417,408.50 = 417,408.50 : x
2. Step 2: Convert to fraction form
   275,499.50/417,408.50 = 417,408.50/x
3. Step 3: Cross multiply
   275,499.50x = 417,408.50 × 417,408.50
4. Step 4: Simplify right side
   275,499.50x = 174,229,855,872.25
5. Step 5: Solve for x
   x = 174,229,855,872.25/275,499.50
6. Step 6: Final answer
   x = 632,414.42