Finding the Third Proportional to 199,826 and 428,150

Step by Step Solution

1. Step 1: Write the proportion equation
   199,826 : 428,150 = 428,150 : x
2. Step 2: Convert to fraction form
   199,826/428,150 = 428,150/x
3. Step 3: Cross multiply
   199,826x = 428,150 × 428,150
4. Step 4: Simplify right side
   199,826x = 183,312,422,500
5. Step 5: Solve for x
   x = 183,312,422,500/199,826
6. Step 6: Final answer
   x = 917,360.22