Finding the Third Proportional to 90,238 and 126,166

Step by Step Solution

1. Step 1: Write the proportion equation
   90,238 : 126,166 = 126,166 : x
2. Step 2: Convert to fraction form
   90,238/126,166 = 126,166/x
3. Step 3: Cross multiply
   90,238x = 126,166 × 126,166
4. Step 4: Simplify right side
   90,238x = 15,917,859,556
5. Step 5: Solve for x
   x = 15,917,859,556/90,238
6. Step 6: Final answer
   x = 176,398.63