Finding the Third Proportional to 199,808 and 428,116

Step by Step Solution

1. Step 1: Write the proportion equation
   199,808 : 428,116 = 428,116 : x
2. Step 2: Convert to fraction form
   199,808/428,116 = 428,116/x
3. Step 3: Cross multiply
   199,808x = 428,116 × 428,116
4. Step 4: Simplify right side
   199,808x = 183,283,309,456
5. Step 5: Solve for x
   x = 183,283,309,456/199,808
6. Step 6: Final answer
   x = 917,297.15