Finding the Third Proportional to 212,100 and 461,514

Step by Step Solution

1. Step 1: Write the proportion equation
   212,100 : 461,514 = 461,514 : x
2. Step 2: Convert to fraction form
   212,100/461,514 = 461,514/x
3. Step 3: Cross multiply
   212,100x = 461,514 × 461,514
4. Step 4: Simplify right side
   212,100x = 212,995,172,196
5. Step 5: Solve for x
   x = 212,995,172,196/212,100
6. Step 6: Final answer
   x = 1,004,220.52