Finding the Third Proportional to 89,648 and 138,807

Step by Step Solution

1. Step 1: Write the proportion equation
   89,648 : 138,807 = 138,807 : x
2. Step 2: Convert to fraction form
   89,648/138,807 = 138,807/x
3. Step 3: Cross multiply
   89,648x = 138,807 × 138,807
4. Step 4: Simplify right side
   89,648x = 19,267,383,249
5. Step 5: Solve for x
   x = 19,267,383,249/89,648
6. Step 6: Final answer
   x = 214,922.62