Finding the Third Proportional to 88,162 and 189,580

Step by Step Solution

1. Step 1: Write the proportion equation
   88,162 : 189,580 = 189,580 : x
2. Step 2: Convert to fraction form
   88,162/189,580 = 189,580/x
3. Step 3: Cross multiply
   88,162x = 189,580 × 189,580
4. Step 4: Simplify right side
   88,162x = 35,940,576,400
5. Step 5: Solve for x
   x = 35,940,576,400/88,162
6. Step 6: Final answer
   x = 407,665.17