Finding the Third Proportional to 171,380 and 382,504

Step by Step Solution

1. Step 1: Write the proportion equation
   171,380 : 382,504 = 382,504 : x
2. Step 2: Convert to fraction form
   171,380/382,504 = 382,504/x
3. Step 3: Cross multiply
   171,380x = 382,504 × 382,504
4. Step 4: Simplify right side
   171,380x = 146,309,310,016
5. Step 5: Solve for x
   x = 146,309,310,016/171,380
6. Step 6: Final answer
   x = 853,712.86