Finding the Third Proportional to 100,906.50 and 158,311

Step by Step Solution

1. Step 1: Write the proportion equation
   100,906.50 : 158,311 = 158,311 : x
2. Step 2: Convert to fraction form
   100,906.50/158,311 = 158,311/x
3. Step 3: Cross multiply
   100,906.50x = 158,311 × 158,311
4. Step 4: Simplify right side
   100,906.50x = 25,062,372,721
5. Step 5: Solve for x
   x = 25,062,372,721/100,906.50
6. Step 6: Final answer
   x = 248,372.23