Finding the Third Proportional to 144,878 and 305,488

Step by Step Solution

1. Step 1: Write the proportion equation
   144,878 : 305,488 = 305,488 : x
2. Step 2: Convert to fraction form
   144,878/305,488 = 305,488/x
3. Step 3: Cross multiply
   144,878x = 305,488 × 305,488
4. Step 4: Simplify right side
   144,878x = 93,322,918,144
5. Step 5: Solve for x
   x = 93,322,918,144/144,878
6. Step 6: Final answer
   x = 644,148.31