Finding the Third Proportional to 100.23 and 158.73

Step by Step Solution

1. Step 1: Write the proportion equation
   100.23 : 158.73 = 158.73 : x
2. Step 2: Convert to fraction form
   100.23/158.73 = 158.73/x
3. Step 3: Cross multiply
   100.23x = 158.73 × 158.73
4. Step 4: Simplify right side
   100.23x = 25,195.36
5. Step 5: Solve for x
   x = 25,195.36/100.23
6. Step 6: Final answer
   x = 251.37