Finding the Third Proportional to 321,128 and 705,814

Step by Step Solution

1. Step 1: Write the proportion equation
   321,128 : 705,814 = 705,814 : x
2. Step 2: Convert to fraction form
   321,128/705,814 = 705,814/x
3. Step 3: Cross multiply
   321,128x = 705,814 × 705,814
4. Step 4: Simplify right side
   321,128x = 498,173,402,596
5. Step 5: Solve for x
   x = 498,173,402,596/321,128
6. Step 6: Final answer
   x = 1,551,323.47