Finding the Third Proportional to 175,934 and 414,907

Step by Step Solution

1. Step 1: Write the proportion equation
   175,934 : 414,907 = 414,907 : x
2. Step 2: Convert to fraction form
   175,934/414,907 = 414,907/x
3. Step 3: Cross multiply
   175,934x = 414,907 × 414,907
4. Step 4: Simplify right side
   175,934x = 172,147,818,649
5. Step 5: Solve for x
   x = 172,147,818,649/175,934
6. Step 6: Final answer
   x = 978,479.54