Finding the Third Proportional to 321,088 and 500,016

Step by Step Solution

1. Step 1: Write the proportion equation
   321,088 : 500,016 = 500,016 : x
2. Step 2: Convert to fraction form
   321,088/500,016 = 500,016/x
3. Step 3: Cross multiply
   321,088x = 500,016 × 500,016
4. Step 4: Simplify right side
   321,088x = 250,016,000,256
5. Step 5: Solve for x
   x = 250,016,000,256/321,088
6. Step 6: Final answer
   x = 778,652.58