Finding the Third Proportional to 175,992 and 415,016

Step by Step Solution

1. Step 1: Write the proportion equation
   175,992 : 415,016 = 415,016 : x
2. Step 2: Convert to fraction form
   175,992/415,016 = 415,016/x
3. Step 3: Cross multiply
   175,992x = 415,016 × 415,016
4. Step 4: Simplify right side
   175,992x = 172,238,280,256
5. Step 5: Solve for x
   x = 172,238,280,256/175,992
6. Step 6: Final answer
   x = 978,671.08