Finding the Third Proportional to 86,238 and 188,514

Step by Step Solution

1. Step 1: Write the proportion equation
   86,238 : 188,514 = 188,514 : x
2. Step 2: Convert to fraction form
   86,238/188,514 = 188,514/x
3. Step 3: Cross multiply
   86,238x = 188,514 × 188,514
4. Step 4: Simplify right side
   86,238x = 35,537,528,196
5. Step 5: Solve for x
   x = 35,537,528,196/86,238
6. Step 6: Final answer
   x = 412,086.65