Finding the Third Proportional to 67,204 and 146,706

Step by Step Solution

1. Step 1: Write the proportion equation
   67,204 : 146,706 = 146,706 : x
2. Step 2: Convert to fraction form
   67,204/146,706 = 146,706/x
3. Step 3: Cross multiply
   67,204x = 146,706 × 146,706
4. Step 4: Simplify right side
   67,204x = 21,522,650,436
5. Step 5: Solve for x
   x = 21,522,650,436/67,204
6. Step 6: Final answer
   x = 320,258.47