Finding the Third Proportional to 172,404.84 and 269,086.78

Step by Step Solution

1. Step 1: Write the proportion equation
   172,404.84 : 269,086.78 = 269,086.78 : x
2. Step 2: Convert to fraction form
   172,404.84/269,086.78 = 269,086.78/x
3. Step 3: Cross multiply
   172,404.84x = 269,086.78 × 269,086.78
4. Step 4: Simplify right side
   172,404.84x = 72,407,695,843.49
5. Step 5: Solve for x
   x = 72,407,695,843.49/172,404.84
6. Step 6: Final answer
   x = 419,986.44