Finding the Third Proportional to 67,638 and 145,242

Step by Step Solution

1. Step 1: Write the proportion equation
   67,638 : 145,242 = 145,242 : x
2. Step 2: Convert to fraction form
   67,638/145,242 = 145,242/x
3. Step 3: Cross multiply
   67,638x = 145,242 × 145,242
4. Step 4: Simplify right side
   67,638x = 21,095,238,564
5. Step 5: Solve for x
   x = 21,095,238,564/67,638
6. Step 6: Final answer
   x = 311,884.42