Finding the Third Proportional to 300,080 and 464,498

Step by Step Solution

1. Step 1: Write the proportion equation
   300,080 : 464,498 = 464,498 : x
2. Step 2: Convert to fraction form
   300,080/464,498 = 464,498/x
3. Step 3: Cross multiply
   300,080x = 464,498 × 464,498
4. Step 4: Simplify right side
   300,080x = 215,758,392,004
5. Step 5: Solve for x
   x = 215,758,392,004/300,080
6. Step 6: Final answer
   x = 719,002.91