Finding the Third Proportional to 213,888 and 464,204

Step by Step Solution

1. Step 1: Write the proportion equation
   213,888 : 464,204 = 464,204 : x
2. Step 2: Convert to fraction form
   213,888/464,204 = 464,204/x
3. Step 3: Cross multiply
   213,888x = 464,204 × 464,204
4. Step 4: Simplify right side
   213,888x = 215,485,353,616
5. Step 5: Solve for x
   x = 215,485,353,616/213,888
6. Step 6: Final answer
   x = 1,007,468.18