Finding the Third Proportional to 86,301 and 188,622

Step by Step Solution

1. Step 1: Write the proportion equation
   86,301 : 188,622 = 188,622 : x
2. Step 2: Convert to fraction form
   86,301/188,622 = 188,622/x
3. Step 3: Cross multiply
   86,301x = 188,622 × 188,622
4. Step 4: Simplify right side
   86,301x = 35,578,258,884
5. Step 5: Solve for x
   x = 35,578,258,884/86,301
6. Step 6: Final answer
   x = 412,257.78