Finding the Third Proportional to 89,289 and 138,132

Step by Step Solution

1. Step 1: Write the proportion equation
   89,289 : 138,132 = 138,132 : x
2. Step 2: Convert to fraction form
   89,289/138,132 = 138,132/x
3. Step 3: Cross multiply
   89,289x = 138,132 × 138,132
4. Step 4: Simplify right side
   89,289x = 19,080,449,424
5. Step 5: Solve for x
   x = 19,080,449,424/89,289
6. Step 6: Final answer
   x = 213,693.17