Finding the Third Proportional to 461,104 and 705,648

Step by Step Solution

1. Step 1: Write the proportion equation
   461,104 : 705,648 = 705,648 : x
2. Step 2: Convert to fraction form
   461,104/705,648 = 705,648/x
3. Step 3: Cross multiply
   461,104x = 705,648 × 705,648
4. Step 4: Simplify right side
   461,104x = 497,939,099,904
5. Step 5: Solve for x
   x = 497,939,099,904/461,104
6. Step 6: Final answer
   x = 1,079,884.58