Finding the Third Proportional to 300,864 and 643,200

Step by Step Solution

1. Step 1: Write the proportion equation
   300,864 : 643,200 = 643,200 : x
2. Step 2: Convert to fraction form
   300,864/643,200 = 643,200/x
3. Step 3: Cross multiply
   300,864x = 643,200 × 643,200
4. Step 4: Simplify right side
   300,864x = 413,706,240,000
5. Step 5: Solve for x
   x = 413,706,240,000/300,864
6. Step 6: Final answer
   x = 1,375,060.63