Finding the Third Proportional to 67,657 and 144,701

Step by Step Solution

1. Step 1: Write the proportion equation
   67,657 : 144,701 = 144,701 : x
2. Step 2: Convert to fraction form
   67,657/144,701 = 144,701/x
3. Step 3: Cross multiply
   67,657x = 144,701 × 144,701
4. Step 4: Simplify right side
   67,657x = 20,938,379,401
5. Step 5: Solve for x
   x = 20,938,379,401/67,657
6. Step 6: Final answer
   x = 309,478.39