Finding the Third Proportional to 89,918 and 139,706

Step by Step Solution

1. Step 1: Write the proportion equation
   89,918 : 139,706 = 139,706 : x
2. Step 2: Convert to fraction form
   89,918/139,706 = 139,706/x
3. Step 3: Cross multiply
   89,918x = 139,706 × 139,706
4. Step 4: Simplify right side
   89,918x = 19,517,766,436
5. Step 5: Solve for x
   x = 19,517,766,436/89,918
6. Step 6: Final answer
   x = 217,061.84