Finding the Third Proportional to 206,818 and 428,996

Step by Step Solution

1. Step 1: Write the proportion equation
   206,818 : 428,996 = 428,996 : x
2. Step 2: Convert to fraction form
   206,818/428,996 = 428,996/x
3. Step 3: Cross multiply
   206,818x = 428,996 × 428,996
4. Step 4: Simplify right side
   206,818x = 184,037,568,016
5. Step 5: Solve for x
   x = 184,037,568,016/206,818
6. Step 6: Final answer
   x = 889,852.76