Finding the Third Proportional to 212,202 and 461,724

Step by Step Solution

1. Step 1: Write the proportion equation
   212,202 : 461,724 = 461,724 : x
2. Step 2: Convert to fraction form
   212,202/461,724 = 461,724/x
3. Step 3: Cross multiply
   212,202x = 461,724 × 461,724
4. Step 4: Simplify right side
   212,202x = 213,189,052,176
5. Step 5: Solve for x
   x = 213,189,052,176/212,202
6. Step 6: Final answer
   x = 1,004,651.47