Finding the Third Proportional to 86,044 and 188,648

Step by Step Solution

1. Step 1: Write the proportion equation
   86,044 : 188,648 = 188,648 : x
2. Step 2: Convert to fraction form
   86,044/188,648 = 188,648/x
3. Step 3: Cross multiply
   86,044x = 188,648 × 188,648
4. Step 4: Simplify right side
   86,044x = 35,588,067,904
5. Step 5: Solve for x
   x = 35,588,067,904/86,044
6. Step 6: Final answer
   x = 413,603.13