Finding the Third Proportional to 67,508 and 146,824

Step by Step Solution

1. Step 1: Write the proportion equation
   67,508 : 146,824 = 146,824 : x
2. Step 2: Convert to fraction form
   67,508/146,824 = 146,824/x
3. Step 3: Cross multiply
   67,508x = 146,824 × 146,824
4. Step 4: Simplify right side
   67,508x = 21,557,286,976
5. Step 5: Solve for x
   x = 21,557,286,976/67,508
6. Step 6: Final answer
   x = 319,329.37