Finding the Third Proportional to 200,947 and 273,648

Step by Step Solution

1. Step 1: Write the proportion equation
   200,947 : 273,648 = 273,648 : x
2. Step 2: Convert to fraction form
   200,947/273,648 = 273,648/x
3. Step 3: Cross multiply
   200,947x = 273,648 × 273,648
4. Step 4: Simplify right side
   200,947x = 74,883,227,904
5. Step 5: Solve for x
   x = 74,883,227,904/200,947
6. Step 6: Final answer
   x = 372,651.63