Finding the Third Proportional to 89,564 and 136,128

Step by Step Solution

1. Step 1: Write the proportion equation
   89,564 : 136,128 = 136,128 : x
2. Step 2: Convert to fraction form
   89,564/136,128 = 136,128/x
3. Step 3: Cross multiply
   89,564x = 136,128 × 136,128
4. Step 4: Simplify right side
   89,564x = 18,530,832,384
5. Step 5: Solve for x
   x = 18,530,832,384/89,564
6. Step 6: Final answer
   x = 206,900.46