Finding the Third Proportional to 212,220 and 461,268

Step by Step Solution

1. Step 1: Write the proportion equation
   212,220 : 461,268 = 461,268 : x
2. Step 2: Convert to fraction form
   212,220/461,268 = 461,268/x
3. Step 3: Cross multiply
   212,220x = 461,268 × 461,268
4. Step 4: Simplify right side
   212,220x = 212,768,167,824
5. Step 5: Solve for x
   x = 212,768,167,824/212,220
6. Step 6: Final answer
   x = 1,002,583.02