Finding the Third Proportional to 86,250 and 188,526

Step by Step Solution

1. Step 1: Write the proportion equation
   86,250 : 188,526 = 188,526 : x
2. Step 2: Convert to fraction form
   86,250/188,526 = 188,526/x
3. Step 3: Cross multiply
   86,250x = 188,526 × 188,526
4. Step 4: Simplify right side
   86,250x = 35,542,052,676
5. Step 5: Solve for x
   x = 35,542,052,676/86,250
6. Step 6: Final answer
   x = 412,081.77