Finding the Third Proportional to 100.13 and 154.63

Step by Step Solution

1. Step 1: Write the proportion equation
   100.13 : 154.63 = 154.63 : x
2. Step 2: Convert to fraction form
   100.13/154.63 = 154.63/x
3. Step 3: Cross multiply
   100.13x = 154.63 × 154.63
4. Step 4: Simplify right side
   100.13x = 23,908.89
5. Step 5: Solve for x
   x = 23,908.89/100.13
6. Step 6: Final answer
   x = 238.79