Finding the Third Proportional to 67,695 and 137,031

Step by Step Solution

1. Step 1: Write the proportion equation
   67,695 : 137,031 = 137,031 : x
2. Step 2: Convert to fraction form
   67,695/137,031 = 137,031/x
3. Step 3: Cross multiply
   67,695x = 137,031 × 137,031
4. Step 4: Simplify right side
   67,695x = 18,777,494,961
5. Step 5: Solve for x
   x = 18,777,494,961/67,695
6. Step 6: Final answer
   x = 277,383.78