Finding the Third Proportional to 321,123 and 500,064

Step by Step Solution

1. Step 1: Write the proportion equation
   321,123 : 500,064 = 500,064 : x
2. Step 2: Convert to fraction form
   321,123/500,064 = 500,064/x
3. Step 3: Cross multiply
   321,123x = 500,064 × 500,064
4. Step 4: Simplify right side
   321,123x = 250,064,004,096
5. Step 5: Solve for x
   x = 250,064,004,096/321,123
6. Step 6: Final answer
   x = 778,717.20