Finding the Third Proportional to 85,816 and 189,096

Step by Step Solution

1. Step 1: Write the proportion equation
   85,816 : 189,096 = 189,096 : x
2. Step 2: Convert to fraction form
   85,816/189,096 = 189,096/x
3. Step 3: Cross multiply
   85,816x = 189,096 × 189,096
4. Step 4: Simplify right side
   85,816x = 35,757,297,216
5. Step 5: Solve for x
   x = 35,757,297,216/85,816
6. Step 6: Final answer
   x = 416,674.01