Finding the Third Proportional to 278,496 and 406,008

Step by Step Solution

1. Step 1: Write the proportion equation
   278,496 : 406,008 = 406,008 : x
2. Step 2: Convert to fraction form
   278,496/406,008 = 406,008/x
3. Step 3: Cross multiply
   278,496x = 406,008 × 406,008
4. Step 4: Simplify right side
   278,496x = 164,842,496,064
5. Step 5: Solve for x
   x = 164,842,496,064/278,496
6. Step 6: Final answer
   x = 591,902.56