Finding the Third Proportional to 307,105 and 664,514

Step by Step Solution

1. Step 1: Write the proportion equation
   307,105 : 664,514 = 664,514 : x
2. Step 2: Convert to fraction form
   307,105/664,514 = 664,514/x
3. Step 3: Cross multiply
   307,105x = 664,514 × 664,514
4. Step 4: Simplify right side
   307,105x = 441,578,856,196
5. Step 5: Solve for x
   x = 441,578,856,196/307,105
6. Step 6: Final answer
   x = 1,437,875.83