Finding the Third Proportional to 321,117 and 705,798

Step by Step Solution

1. Step 1: Write the proportion equation
   321,117 : 705,798 = 705,798 : x
2. Step 2: Convert to fraction form
   321,117/705,798 = 705,798/x
3. Step 3: Cross multiply
   321,117x = 705,798 × 705,798
4. Step 4: Simplify right side
   321,117x = 498,150,816,804
5. Step 5: Solve for x
   x = 498,150,816,804/321,117
6. Step 6: Final answer
   x = 1,551,306.27