Finding the Third Proportional to 300,819 and 650,598

Step by Step Solution

1. Step 1: Write the proportion equation
   300,819 : 650,598 = 650,598 : x
2. Step 2: Convert to fraction form
   300,819/650,598 = 650,598/x
3. Step 3: Cross multiply
   300,819x = 650,598 × 650,598
4. Step 4: Simplify right side
   300,819x = 423,277,757,604
5. Step 5: Solve for x
   x = 423,277,757,604/300,819
6. Step 6: Final answer
   x = 1,407,084.52