Finding the Third Proportional to 212,469 and 456,514

Step by Step Solution

1. Step 1: Write the proportion equation
   212,469 : 456,514 = 456,514 : x
2. Step 2: Convert to fraction form
   212,469/456,514 = 456,514/x
3. Step 3: Cross multiply
   212,469x = 456,514 × 456,514
4. Step 4: Simplify right side
   212,469x = 208,405,032,196
5. Step 5: Solve for x
   x = 208,405,032,196/212,469
6. Step 6: Final answer
   x = 980,872.66