Finding the Third Proportional to 212,292 and 461,412

Step by Step Solution

1. Step 1: Write the proportion equation
   212,292 : 461,412 = 461,412 : x
2. Step 2: Convert to fraction form
   212,292/461,412 = 461,412/x
3. Step 3: Cross multiply
   212,292x = 461,412 × 461,412
4. Step 4: Simplify right side
   212,292x = 212,901,033,744
5. Step 5: Solve for x
   x = 212,901,033,744/212,292
6. Step 6: Final answer
   x = 1,002,868.85