Finding the Third Proportional to 200,209 and 269,667

Step by Step Solution

1. Step 1: Write the proportion equation
   200,209 : 269,667 = 269,667 : x
2. Step 2: Convert to fraction form
   200,209/269,667 = 269,667/x
3. Step 3: Cross multiply
   200,209x = 269,667 × 269,667
4. Step 4: Simplify right side
   200,209x = 72,720,290,889
5. Step 5: Solve for x
   x = 72,720,290,889/200,209
6. Step 6: Final answer
   x = 363,221.89