Finding the Third Proportional to 175,504 and 379,016

Step by Step Solution

1. Step 1: Write the proportion equation
   175,504 : 379,016 = 379,016 : x
2. Step 2: Convert to fraction form
   175,504/379,016 = 379,016/x
3. Step 3: Cross multiply
   175,504x = 379,016 × 379,016
4. Step 4: Simplify right side
   175,504x = 143,653,128,256
5. Step 5: Solve for x
   x = 143,653,128,256/175,504
6. Step 6: Final answer
   x = 818,517.69