Finding the Third Proportional to 67,628 and 145,648

Step by Step Solution

1. Step 1: Write the proportion equation
   67,628 : 145,648 = 145,648 : x
2. Step 2: Convert to fraction form
   67,628/145,648 = 145,648/x
3. Step 3: Cross multiply
   67,628x = 145,648 × 145,648
4. Step 4: Simplify right side
   67,628x = 21,213,339,904
5. Step 5: Solve for x
   x = 21,213,339,904/67,628
6. Step 6: Final answer
   x = 313,676.88