Finding the Third Proportional to 89,556 and 136,116

Step by Step Solution

1. Step 1: Write the proportion equation
   89,556 : 136,116 = 136,116 : x
2. Step 2: Convert to fraction form
   89,556/136,116 = 136,116/x
3. Step 3: Cross multiply
   89,556x = 136,116 × 136,116
4. Step 4: Simplify right side
   89,556x = 18,527,565,456
5. Step 5: Solve for x
   x = 18,527,565,456/89,556
6. Step 6: Final answer
   x = 206,882.46