Finding the Third Proportional to 89,082 and 138,054

Step by Step Solution

1. Step 1: Write the proportion equation
   89,082 : 138,054 = 138,054 : x
2. Step 2: Convert to fraction form
   89,082/138,054 = 138,054/x
3. Step 3: Cross multiply
   89,082x = 138,054 × 138,054
4. Step 4: Simplify right side
   89,082x = 19,058,906,916
5. Step 5: Solve for x
   x = 19,058,906,916/89,082
6. Step 6: Final answer
   x = 213,947.90