Finding the Third Proportional to 278,967 and 405,490.50

Step by Step Solution

1. Step 1: Write the proportion equation
   278,967 : 405,490.50 = 405,490.50 : x
2. Step 2: Convert to fraction form
   278,967/405,490.50 = 405,490.50/x
3. Step 3: Cross multiply
   278,967x = 405,490.50 × 405,490.50
4. Step 4: Simplify right side
   278,967x = 164,422,545,590.25
5. Step 5: Solve for x
   x = 164,422,545,590.25/278,967
6. Step 6: Final answer
   x = 589,397.83