Finding the Third Proportional to 87,072 and 181,680

Step by Step Solution

1. Step 1: Write the proportion equation
   87,072 : 181,680 = 181,680 : x
2. Step 2: Convert to fraction form
   87,072/181,680 = 181,680/x
3. Step 3: Cross multiply
   87,072x = 181,680 × 181,680
4. Step 4: Simplify right side
   87,072x = 33,007,622,400
5. Step 5: Solve for x
   x = 33,007,622,400/87,072
6. Step 6: Final answer
   x = 379,084.23