Finding the Third Proportional to 89,986 and 139,696

Step by Step Solution

1. Step 1: Write the proportion equation
   89,986 : 139,696 = 139,696 : x
2. Step 2: Convert to fraction form
   89,986/139,696 = 139,696/x
3. Step 3: Cross multiply
   89,986x = 139,696 × 139,696
4. Step 4: Simplify right side
   89,986x = 19,514,972,416
5. Step 5: Solve for x
   x = 19,514,972,416/89,986
6. Step 6: Final answer
   x = 216,866.76