Finding the Third Proportional to 213,828 and 464,082

Step by Step Solution

1. Step 1: Write the proportion equation
   213,828 : 464,082 = 464,082 : x
2. Step 2: Convert to fraction form
   213,828/464,082 = 464,082/x
3. Step 3: Cross multiply
   213,828x = 464,082 × 464,082
4. Step 4: Simplify right side
   213,828x = 215,372,102,724
5. Step 5: Solve for x
   x = 215,372,102,724/213,828
6. Step 6: Final answer
   x = 1,007,221.24