Finding the Third Proportional to 67,839 and 147,353

Step by Step Solution

1. Step 1: Write the proportion equation
   67,839 : 147,353 = 147,353 : x
2. Step 2: Convert to fraction form
   67,839/147,353 = 147,353/x
3. Step 3: Cross multiply
   67,839x = 147,353 × 147,353
4. Step 4: Simplify right side
   67,839x = 21,712,906,609
5. Step 5: Solve for x
   x = 21,712,906,609/67,839
6. Step 6: Final answer
   x = 320,065.25