Finding the Third Proportional to 85,869 and 189,180

Step by Step Solution

1. Step 1: Write the proportion equation
   85,869 : 189,180 = 189,180 : x
2. Step 2: Convert to fraction form
   85,869/189,180 = 189,180/x
3. Step 3: Cross multiply
   85,869x = 189,180 × 189,180
4. Step 4: Simplify right side
   85,869x = 35,789,072,400
5. Step 5: Solve for x
   x = 35,789,072,400/85,869
6. Step 6: Final answer
   x = 416,786.88