Finding the Third Proportional to 212,116 and 461,744

Step by Step Solution

1. Step 1: Write the proportion equation
   212,116 : 461,744 = 461,744 : x
2. Step 2: Convert to fraction form
   212,116/461,744 = 461,744/x
3. Step 3: Cross multiply
   212,116x = 461,744 × 461,744
4. Step 4: Simplify right side
   212,116x = 213,207,521,536
5. Step 5: Solve for x
   x = 213,207,521,536/212,116
6. Step 6: Final answer
   x = 1,005,145.87