Finding the Third Proportional to 300,102 and 640,380

Step by Step Solution

1. Step 1: Write the proportion equation
   300,102 : 640,380 = 640,380 : x
2. Step 2: Convert to fraction form
   300,102/640,380 = 640,380/x
3. Step 3: Cross multiply
   300,102x = 640,380 × 640,380
4. Step 4: Simplify right side
   300,102x = 410,086,544,400
5. Step 5: Solve for x
   x = 410,086,544,400/300,102
6. Step 6: Final answer
   x = 1,366,490.54