Finding the Third Proportional to 89,760 and 138,192

Step by Step Solution

1. Step 1: Write the proportion equation
   89,760 : 138,192 = 138,192 : x
2. Step 2: Convert to fraction form
   89,760/138,192 = 138,192/x
3. Step 3: Cross multiply
   89,760x = 138,192 × 138,192
4. Step 4: Simplify right side
   89,760x = 19,097,028,864
5. Step 5: Solve for x
   x = 19,097,028,864/89,760
6. Step 6: Final answer
   x = 212,756.56