Finding the Third Proportional to 268,744 and 406,140

Step by Step Solution

1. Step 1: Write the proportion equation
   268,744 : 406,140 = 406,140 : x
2. Step 2: Convert to fraction form
   268,744/406,140 = 406,140/x
3. Step 3: Cross multiply
   268,744x = 406,140 × 406,140
4. Step 4: Simplify right side
   268,744x = 164,949,699,600
5. Step 5: Solve for x
   x = 164,949,699,600/268,744
6. Step 6: Final answer
   x = 613,780.03