Finding the Third Proportional to 212,838 and 333,945

Step by Step Solution

1. Step 1: Write the proportion equation
   212,838 : 333,945 = 333,945 : x
2. Step 2: Convert to fraction form
   212,838/333,945 = 333,945/x
3. Step 3: Cross multiply
   212,838x = 333,945 × 333,945
4. Step 4: Simplify right side
   212,838x = 111,519,263,025
5. Step 5: Solve for x
   x = 111,519,263,025/212,838
6. Step 6: Final answer
   x = 523,963.12