Finding the Third Proportional to 100.50 and 226.69

Step by Step Solution

1. Step 1: Write the proportion equation
   100.50 : 226.69 = 226.69 : x
2. Step 2: Convert to fraction form
   100.50/226.69 = 226.69/x
3. Step 3: Cross multiply
   100.50x = 226.69 × 226.69
4. Step 4: Simplify right side
   100.50x = 51,387.22
5. Step 5: Solve for x
   x = 51,387.22/100.50
6. Step 6: Final answer
   x = 511.32