Finding the Third Proportional to 172,422 and 269,109

Step by Step Solution

1. Step 1: Write the proportion equation
   172,422 : 269,109 = 269,109 : x
2. Step 2: Convert to fraction form
   172,422/269,109 = 269,109/x
3. Step 3: Cross multiply
   172,422x = 269,109 × 269,109
4. Step 4: Simplify right side
   172,422x = 72,419,653,881
5. Step 5: Solve for x
   x = 72,419,653,881/172,422
6. Step 6: Final answer
   x = 420,014.00