Finding the Third Proportional to 185,816 and 279,144

Step by Step Solution

1. Step 1: Write the proportion equation
   185,816 : 279,144 = 279,144 : x
2. Step 2: Convert to fraction form
   185,816/279,144 = 279,144/x
3. Step 3: Cross multiply
   185,816x = 279,144 × 279,144
4. Step 4: Simplify right side
   185,816x = 77,921,372,736
5. Step 5: Solve for x
   x = 77,921,372,736/185,816
6. Step 6: Final answer
   x = 419,346.95