Finding the Third Proportional to 199,052 and 416,540

Step by Step Solution

1. Step 1: Write the proportion equation
   199,052 : 416,540 = 416,540 : x
2. Step 2: Convert to fraction form
   199,052/416,540 = 416,540/x
3. Step 3: Cross multiply
   199,052x = 416,540 × 416,540
4. Step 4: Simplify right side
   199,052x = 173,505,571,600
5. Step 5: Solve for x
   x = 173,505,571,600/199,052
6. Step 6: Final answer
   x = 871,659.52