Finding the Third Proportional to 67,540 and 146,972

Step by Step Solution

1. Step 1: Write the proportion equation
   67,540 : 146,972 = 146,972 : x
2. Step 2: Convert to fraction form
   67,540/146,972 = 146,972/x
3. Step 3: Cross multiply
   67,540x = 146,972 × 146,972
4. Step 4: Simplify right side
   67,540x = 21,600,768,784
5. Step 5: Solve for x
   x = 21,600,768,784/67,540
6. Step 6: Final answer
   x = 319,821.87