Finding the Third Proportional to 278,008 and 610,144

Step by Step Solution

1. Step 1: Write the proportion equation
   278,008 : 610,144 = 610,144 : x
2. Step 2: Convert to fraction form
   278,008/610,144 = 610,144/x
3. Step 3: Cross multiply
   278,008x = 610,144 × 610,144
4. Step 4: Simplify right side
   278,008x = 372,275,700,736
5. Step 5: Solve for x
   x = 372,275,700,736/278,008
6. Step 6: Final answer
   x = 1,339,082.69