Finding the Third Proportional to 212,198 and 461,716

Step by Step Solution

1. Step 1: Write the proportion equation
   212,198 : 461,716 = 461,716 : x
2. Step 2: Convert to fraction form
   212,198/461,716 = 461,716/x
3. Step 3: Cross multiply
   212,198x = 461,716 × 461,716
4. Step 4: Simplify right side
   212,198x = 213,181,664,656
5. Step 5: Solve for x
   x = 213,181,664,656/212,198
6. Step 6: Final answer
   x = 1,004,635.60