Finding the Third Proportional to 100.13 and 148.78

Step by Step Solution

1. Step 1: Write the proportion equation
   100.13 : 148.78 = 148.78 : x
2. Step 2: Convert to fraction form
   100.13/148.78 = 148.78/x
3. Step 3: Cross multiply
   100.13x = 148.78 × 148.78
4. Step 4: Simplify right side
   100.13x = 22,135.86
5. Step 5: Solve for x
   x = 22,135.86/100.13
6. Step 6: Final answer
   x = 221.08