Finding the Third Proportional to 300,406 and 464,990

Step by Step Solution

1. Step 1: Write the proportion equation
   300,406 : 464,990 = 464,990 : x
2. Step 2: Convert to fraction form
   300,406/464,990 = 464,990/x
3. Step 3: Cross multiply
   300,406x = 464,990 × 464,990
4. Step 4: Simplify right side
   300,406x = 216,215,700,100
5. Step 5: Solve for x
   x = 216,215,700,100/300,406
6. Step 6: Final answer
   x = 719,744.95