Finding the Third Proportional to 182,036 and 271,648

Step by Step Solution

1. Step 1: Write the proportion equation
   182,036 : 271,648 = 271,648 : x
2. Step 2: Convert to fraction form
   182,036/271,648 = 271,648/x
3. Step 3: Cross multiply
   182,036x = 271,648 × 271,648
4. Step 4: Simplify right side
   182,036x = 73,792,635,904
5. Step 5: Solve for x
   x = 73,792,635,904/182,036
6. Step 6: Final answer
   x = 405,373.86