Finding the Third Proportional to 300,081 and 464,499

Step by Step Solution

1. Step 1: Write the proportion equation
   300,081 : 464,499 = 464,499 : x
2. Step 2: Convert to fraction form
   300,081/464,499 = 464,499/x
3. Step 3: Cross multiply
   300,081x = 464,499 × 464,499
4. Step 4: Simplify right side
   300,081x = 215,759,321,001
5. Step 5: Solve for x
   x = 215,759,321,001/300,081
6. Step 6: Final answer
   x = 719,003.61