Finding the Third Proportional to 89,241 and 138,181

Step by Step Solution

1. Step 1: Write the proportion equation
   89,241 : 138,181 = 138,181 : x
2. Step 2: Convert to fraction form
   89,241/138,181 = 138,181/x
3. Step 3: Cross multiply
   89,241x = 138,181 × 138,181
4. Step 4: Simplify right side
   89,241x = 19,093,988,761
5. Step 5: Solve for x
   x = 19,093,988,761/89,241
6. Step 6: Final answer
   x = 213,959.83