Finding the Third Proportional to 67,843 and 146,980

Step by Step Solution

1. Step 1: Write the proportion equation
   67,843 : 146,980 = 146,980 : x
2. Step 2: Convert to fraction form
   67,843/146,980 = 146,980/x
3. Step 3: Cross multiply
   67,843x = 146,980 × 146,980
4. Step 4: Simplify right side
   67,843x = 21,603,120,400
5. Step 5: Solve for x
   x = 21,603,120,400/67,843
6. Step 6: Final answer
   x = 318,428.14