Finding the Third Proportional to 182,072 and 397,496

Step by Step Solution

1. Step 1: Write the proportion equation
   182,072 : 397,496 = 397,496 : x
2. Step 2: Convert to fraction form
   182,072/397,496 = 397,496/x
3. Step 3: Cross multiply
   182,072x = 397,496 × 397,496
4. Step 4: Simplify right side
   182,072x = 158,003,070,016
5. Step 5: Solve for x
   x = 158,003,070,016/182,072
6. Step 6: Final answer
   x = 867,805.43