Finding the Third Proportional to 369,972 and 557,144

Step by Step Solution

1. Step 1: Write the proportion equation
   369,972 : 557,144 = 557,144 : x
2. Step 2: Convert to fraction form
   369,972/557,144 = 557,144/x
3. Step 3: Cross multiply
   369,972x = 557,144 × 557,144
4. Step 4: Simplify right side
   369,972x = 310,409,436,736
5. Step 5: Solve for x
   x = 310,409,436,736/369,972
6. Step 6: Final answer
   x = 839,007.92