Finding the Third Proportional to 172,444 and 269,145

Step by Step Solution

1. Step 1: Write the proportion equation
   172,444 : 269,145 = 269,145 : x
2. Step 2: Convert to fraction form
   172,444/269,145 = 269,145/x
3. Step 3: Cross multiply
   172,444x = 269,145 × 269,145
4. Step 4: Simplify right side
   172,444x = 72,439,031,025
5. Step 5: Solve for x
   x = 72,439,031,025/172,444
6. Step 6: Final answer
   x = 420,072.78