Finding the Third Proportional to 89,986 and 139,695

Step by Step Solution

1. Step 1: Write the proportion equation
   89,986 : 139,695 = 139,695 : x
2. Step 2: Convert to fraction form
   89,986/139,695 = 139,695/x
3. Step 3: Cross multiply
   89,986x = 139,695 × 139,695
4. Step 4: Simplify right side
   89,986x = 19,514,693,025
5. Step 5: Solve for x
   x = 19,514,693,025/89,986
6. Step 6: Final answer
   x = 216,863.66