Finding the Third Proportional to 150,662 and 204,386

Step by Step Solution

1. Step 1: Write the proportion equation
   150,662 : 204,386 = 204,386 : x
2. Step 2: Convert to fraction form
   150,662/204,386 = 204,386/x
3. Step 3: Cross multiply
   150,662x = 204,386 × 204,386
4. Step 4: Simplify right side
   150,662x = 41,773,636,996
5. Step 5: Solve for x
   x = 41,773,636,996/150,662
6. Step 6: Final answer
   x = 277,267.24