Finding the Third Proportional to 419,760 and 665,743.50

Step by Step Solution

1. Step 1: Write the proportion equation
   419,760 : 665,743.50 = 665,743.50 : x
2. Step 2: Convert to fraction form
   419,760/665,743.50 = 665,743.50/x
3. Step 3: Cross multiply
   419,760x = 665,743.50 × 665,743.50
4. Step 4: Simplify right side
   419,760x = 443,214,407,792.25
5. Step 5: Solve for x
   x = 443,214,407,792.25/419,760
6. Step 6: Final answer
   x = 1,055,875.76