Finding the Third Proportional to 89,920 and 138,936

Step by Step Solution

1. Step 1: Write the proportion equation
   89,920 : 138,936 = 138,936 : x
2. Step 2: Convert to fraction form
   89,920/138,936 = 138,936/x
3. Step 3: Cross multiply
   89,920x = 138,936 × 138,936
4. Step 4: Simplify right side
   89,920x = 19,303,212,096
5. Step 5: Solve for x
   x = 19,303,212,096/89,920
6. Step 6: Final answer
   x = 214,670.95