Finding the Third Proportional to 321,162 and 490,123

Step by Step Solution

1. Step 1: Write the proportion equation
   321,162 : 490,123 = 490,123 : x
2. Step 2: Convert to fraction form
   321,162/490,123 = 490,123/x
3. Step 3: Cross multiply
   321,162x = 490,123 × 490,123
4. Step 4: Simplify right side
   321,162x = 240,220,555,129
5. Step 5: Solve for x
   x = 240,220,555,129/321,162
6. Step 6: Final answer
   x = 747,973.16