Finding the Third Proportional to 86,303 and 188,626

Step by Step Solution

1. Step 1: Write the proportion equation
   86,303 : 188,626 = 188,626 : x
2. Step 2: Convert to fraction form
   86,303/188,626 = 188,626/x
3. Step 3: Cross multiply
   86,303x = 188,626 × 188,626
4. Step 4: Simplify right side
   86,303x = 35,579,767,876
5. Step 5: Solve for x
   x = 35,579,767,876/86,303
6. Step 6: Final answer
   x = 412,265.71