Finding the Third Proportional to 89,054 and 138,686

Step by Step Solution

1. Step 1: Write the proportion equation
   89,054 : 138,686 = 138,686 : x
2. Step 2: Convert to fraction form
   89,054/138,686 = 138,686/x
3. Step 3: Cross multiply
   89,054x = 138,686 × 138,686
4. Step 4: Simplify right side
   89,054x = 19,233,806,596
5. Step 5: Solve for x
   x = 19,233,806,596/89,054
6. Step 6: Final answer
   x = 215,979.14