Finding the Third Proportional to 300,678 and 653,196

Step by Step Solution

1. Step 1: Write the proportion equation
   300,678 : 653,196 = 653,196 : x
2. Step 2: Convert to fraction form
   300,678/653,196 = 653,196/x
3. Step 3: Cross multiply
   300,678x = 653,196 × 653,196
4. Step 4: Simplify right side
   300,678x = 426,665,014,416
5. Step 5: Solve for x
   x = 426,665,014,416/300,678
6. Step 6: Final answer
   x = 1,419,009.75