Finding the Third Proportional to 105.05 and 152.93

Step by Step Solution

1. Step 1: Write the proportion equation
   105.05 : 152.93 = 152.93 : x
2. Step 2: Convert to fraction form
   105.05/152.93 = 152.93/x
3. Step 3: Cross multiply
   105.05x = 152.93 × 152.93
4. Step 4: Simplify right side
   105.05x = 23,387.49
5. Step 5: Solve for x
   x = 23,387.49/105.05
6. Step 6: Final answer
   x = 222.64