Finding the Third Proportional to 89,040 and 138,666

Step by Step Solution

1. Step 1: Write the proportion equation
   89,040 : 138,666 = 138,666 : x
2. Step 2: Convert to fraction form
   89,040/138,666 = 138,666/x
3. Step 3: Cross multiply
   89,040x = 138,666 × 138,666
4. Step 4: Simplify right side
   89,040x = 19,228,259,556
5. Step 5: Solve for x
   x = 19,228,259,556/89,040
6. Step 6: Final answer
   x = 215,950.80