Finding the Third Proportional to 300,822 and 451,297.50

Step by Step Solution

1. Step 1: Write the proportion equation
   300,822 : 451,297.50 = 451,297.50 : x
2. Step 2: Convert to fraction form
   300,822/451,297.50 = 451,297.50/x
3. Step 3: Cross multiply
   300,822x = 451,297.50 × 451,297.50
4. Step 4: Simplify right side
   300,822x = 203,669,433,506.25
5. Step 5: Solve for x
   x = 203,669,433,506.25/300,822
6. Step 6: Final answer
   x = 677,043.01