Finding the Third Proportional to 86,384 and 188,772

Step by Step Solution

1. Step 1: Write the proportion equation
   86,384 : 188,772 = 188,772 : x
2. Step 2: Convert to fraction form
   86,384/188,772 = 188,772/x
3. Step 3: Cross multiply
   86,384x = 188,772 × 188,772
4. Step 4: Simplify right side
   86,384x = 35,634,867,984
5. Step 5: Solve for x
   x = 35,634,867,984/86,384
6. Step 6: Final answer
   x = 412,516.99