Finding the Third Proportional to 87,962 and 178,996

Step by Step Solution

1. Step 1: Write the proportion equation
   87,962 : 178,996 = 178,996 : x
2. Step 2: Convert to fraction form
   87,962/178,996 = 178,996/x
3. Step 3: Cross multiply
   87,962x = 178,996 × 178,996
4. Step 4: Simplify right side
   87,962x = 32,039,568,016
5. Step 5: Solve for x
   x = 32,039,568,016/87,962
6. Step 6: Final answer
   x = 364,243.29