Finding the Third Proportional to 67,971 and 149,766

Step by Step Solution

1. Step 1: Write the proportion equation
   67,971 : 149,766 = 149,766 : x
2. Step 2: Convert to fraction form
   67,971/149,766 = 149,766/x
3. Step 3: Cross multiply
   67,971x = 149,766 × 149,766
4. Step 4: Simplify right side
   67,971x = 22,429,854,756
5. Step 5: Solve for x
   x = 22,429,854,756/67,971
6. Step 6: Final answer
   x = 329,991.54