Finding the Third Proportional to 86,424 and 188,892

Step by Step Solution

1. Step 1: Write the proportion equation
   86,424 : 188,892 = 188,892 : x
2. Step 2: Convert to fraction form
   86,424/188,892 = 188,892/x
3. Step 3: Cross multiply
   86,424x = 188,892 × 188,892
4. Step 4: Simplify right side
   86,424x = 35,680,187,664
5. Step 5: Solve for x
   x = 35,680,187,664/86,424
6. Step 6: Final answer
   x = 412,850.45