Finding the Third Proportional to 300,492 and 465,048

Step by Step Solution

1. Step 1: Write the proportion equation
   300,492 : 465,048 = 465,048 : x
2. Step 2: Convert to fraction form
   300,492/465,048 = 465,048/x
3. Step 3: Cross multiply
   300,492x = 465,048 × 465,048
4. Step 4: Simplify right side
   300,492x = 216,269,642,304
5. Step 5: Solve for x
   x = 216,269,642,304/300,492
6. Step 6: Final answer
   x = 719,718.47