Finding the Third Proportional to 300,496 and 465,054

Step by Step Solution

1. Step 1: Write the proportion equation
   300,496 : 465,054 = 465,054 : x
2. Step 2: Convert to fraction form
   300,496/465,054 = 465,054/x
3. Step 3: Cross multiply
   300,496x = 465,054 × 465,054
4. Step 4: Simplify right side
   300,496x = 216,275,222,916
5. Step 5: Solve for x
   x = 216,275,222,916/300,496
6. Step 6: Final answer
   x = 719,727.46