Finding the Third Proportional to 86,268 and 188,562

Step by Step Solution

1. Step 1: Write the proportion equation
   86,268 : 188,562 = 188,562 : x
2. Step 2: Convert to fraction form
   86,268/188,562 = 188,562/x
3. Step 3: Cross multiply
   86,268x = 188,562 × 188,562
4. Step 4: Simplify right side
   86,268x = 35,555,627,844
5. Step 5: Solve for x
   x = 35,555,627,844/86,268
6. Step 6: Final answer
   x = 412,153.15