Finding the Third Proportional to 89,266 and 126,906

Step by Step Solution

1. Step 1: Write the proportion equation
   89,266 : 126,906 = 126,906 : x
2. Step 2: Convert to fraction form
   89,266/126,906 = 126,906/x
3. Step 3: Cross multiply
   89,266x = 126,906 × 126,906
4. Step 4: Simplify right side
   89,266x = 16,105,132,836
5. Step 5: Solve for x
   x = 16,105,132,836/89,266
6. Step 6: Final answer
   x = 180,417.32