Finding the Third Proportional to 86,467 and 188,084

Step by Step Solution

1. Step 1: Write the proportion equation
   86,467 : 188,084 = 188,084 : x
2. Step 2: Convert to fraction form
   86,467/188,084 = 188,084/x
3. Step 3: Cross multiply
   86,467x = 188,084 × 188,084
4. Step 4: Simplify right side
   86,467x = 35,375,591,056
5. Step 5: Solve for x
   x = 35,375,591,056/86,467
6. Step 6: Final answer
   x = 409,122.45