Finding the Third Proportional to 278,504 and 406,020

Step by Step Solution

1. Step 1: Write the proportion equation
   278,504 : 406,020 = 406,020 : x
2. Step 2: Convert to fraction form
   278,504/406,020 = 406,020/x
3. Step 3: Cross multiply
   278,504x = 406,020 × 406,020
4. Step 4: Simplify right side
   278,504x = 164,852,240,400
5. Step 5: Solve for x
   x = 164,852,240,400/278,504
6. Step 6: Final answer
   x = 591,920.55