Finding the Third Proportional to 212,010 and 463,872

Step by Step Solution

1. Step 1: Write the proportion equation
   212,010 : 463,872 = 463,872 : x
2. Step 2: Convert to fraction form
   212,010/463,872 = 463,872/x
3. Step 3: Cross multiply
   212,010x = 463,872 × 463,872
4. Step 4: Simplify right side
   212,010x = 215,177,232,384
5. Step 5: Solve for x
   x = 215,177,232,384/212,010
6. Step 6: Final answer
   x = 1,014,939.07