Finding the Third Proportional to 89,982 and 139,689

Step by Step Solution

1. Step 1: Write the proportion equation
   89,982 : 139,689 = 139,689 : x
2. Step 2: Convert to fraction form
   89,982/139,689 = 139,689/x
3. Step 3: Cross multiply
   89,982x = 139,689 × 139,689
4. Step 4: Simplify right side
   89,982x = 19,513,016,721
5. Step 5: Solve for x
   x = 19,513,016,721/89,982
6. Step 6: Final answer
   x = 216,854.67