Finding the Third Proportional to 100.38 and 148.63

Step by Step Solution

1. Step 1: Write the proportion equation
   100.38 : 148.63 = 148.63 : x
2. Step 2: Convert to fraction form
   100.38/148.63 = 148.63/x
3. Step 3: Cross multiply
   100.38x = 148.63 × 148.63
4. Step 4: Simplify right side
   100.38x = 22,089.39
5. Step 5: Solve for x
   x = 22,089.39/100.38
6. Step 6: Final answer
   x = 220.07