Finding the Third Proportional to 145,922 and 209,667

Step by Step Solution

1. Step 1: Write the proportion equation
   145,922 : 209,667 = 209,667 : x
2. Step 2: Convert to fraction form
   145,922/209,667 = 209,667/x
3. Step 3: Cross multiply
   145,922x = 209,667 × 209,667
4. Step 4: Simplify right side
   145,922x = 43,960,250,889
5. Step 5: Solve for x
   x = 43,960,250,889/145,922
6. Step 6: Final answer
   x = 301,258.56