Finding the Third Proportional to 419,758.50 and 665,742

Step by Step Solution

1. Step 1: Write the proportion equation
   419,758.50 : 665,742 = 665,742 : x
2. Step 2: Convert to fraction form
   419,758.50/665,742 = 665,742/x
3. Step 3: Cross multiply
   419,758.50x = 665,742 × 665,742
4. Step 4: Simplify right side
   419,758.50x = 443,212,410,564
5. Step 5: Solve for x
   x = 443,212,410,564/419,758.50
6. Step 6: Final answer
   x = 1,055,874.77