Finding the Third Proportional to 100.50 and 232.69

Step by Step Solution

1. Step 1: Write the proportion equation
   100.50 : 232.69 = 232.69 : x
2. Step 2: Convert to fraction form
   100.50/232.69 = 232.69/x
3. Step 3: Cross multiply
   100.50x = 232.69 × 232.69
4. Step 4: Simplify right side
   100.50x = 54,143.47
5. Step 5: Solve for x
   x = 54,143.47/100.50
6. Step 6: Final answer
   x = 538.74