Finding the Third Proportional to 213,268 and 462,698

Step by Step Solution

1. Step 1: Write the proportion equation
   213,268 : 462,698 = 462,698 : x
2. Step 2: Convert to fraction form
   213,268/462,698 = 462,698/x
3. Step 3: Cross multiply
   213,268x = 462,698 × 462,698
4. Step 4: Simplify right side
   213,268x = 214,089,439,204
5. Step 5: Solve for x
   x = 214,089,439,204/213,268
6. Step 6: Final answer
   x = 1,003,851.68