Finding the Third Proportional to 300,114 and 640,404

Step by Step Solution

1. Step 1: Write the proportion equation
   300,114 : 640,404 = 640,404 : x
2. Step 2: Convert to fraction form
   300,114/640,404 = 640,404/x
3. Step 3: Cross multiply
   300,114x = 640,404 × 640,404
4. Step 4: Simplify right side
   300,114x = 410,117,283,216
5. Step 5: Solve for x
   x = 410,117,283,216/300,114
6. Step 6: Final answer
   x = 1,366,538.33