Finding the Third Proportional to 300,321 and 404,514

Step by Step Solution

1. Step 1: Write the proportion equation
   300,321 : 404,514 = 404,514 : x
2. Step 2: Convert to fraction form
   300,321/404,514 = 404,514/x
3. Step 3: Cross multiply
   300,321x = 404,514 × 404,514
4. Step 4: Simplify right side
   300,321x = 163,631,576,196
5. Step 5: Solve for x
   x = 163,631,576,196/300,321
6. Step 6: Final answer
   x = 544,855.59