Finding the Third Proportional to 213,858 and 464,142

Step by Step Solution

1. Step 1: Write the proportion equation
   213,858 : 464,142 = 464,142 : x
2. Step 2: Convert to fraction form
   213,858/464,142 = 464,142/x
3. Step 3: Cross multiply
   213,858x = 464,142 × 464,142
4. Step 4: Simplify right side
   213,858x = 215,427,796,164
5. Step 5: Solve for x
   x = 215,427,796,164/213,858
6. Step 6: Final answer
   x = 1,007,340.37