Finding the Third Proportional to 89,020 and 138,636

Step by Step Solution

1. Step 1: Write the proportion equation
   89,020 : 138,636 = 138,636 : x
2. Step 2: Convert to fraction form
   89,020/138,636 = 138,636/x
3. Step 3: Cross multiply
   89,020x = 138,636 × 138,636
4. Step 4: Simplify right side
   89,020x = 19,219,940,496
5. Step 5: Solve for x
   x = 19,219,940,496/89,020
6. Step 6: Final answer
   x = 215,905.87