Finding the Third Proportional to 105.88 and 153.94

Step by Step Solution

1. Step 1: Write the proportion equation
   105.88 : 153.94 = 153.94 : x
2. Step 2: Convert to fraction form
   105.88/153.94 = 153.94/x
3. Step 3: Cross multiply
   105.88x = 153.94 × 153.94
4. Step 4: Simplify right side
   105.88x = 23,696.75
5. Step 5: Solve for x
   x = 23,696.75/105.88
6. Step 6: Final answer
   x = 223.82