Finding the Third Proportional to 300,048 and 464,404

Step by Step Solution

1. Step 1: Write the proportion equation
   300,048 : 464,404 = 464,404 : x
2. Step 2: Convert to fraction form
   300,048/464,404 = 464,404/x
3. Step 3: Cross multiply
   300,048x = 464,404 × 464,404
4. Step 4: Simplify right side
   300,048x = 215,671,075,216
5. Step 5: Solve for x
   x = 215,671,075,216/300,048
6. Step 6: Final answer
   x = 718,788.58