Finding the Third Proportional to 105.86 and 152.90

Step by Step Solution

1. Step 1: Write the proportion equation
   105.86 : 152.90 = 152.90 : x
2. Step 2: Convert to fraction form
   105.86/152.90 = 152.90/x
3. Step 3: Cross multiply
   105.86x = 152.90 × 152.90
4. Step 4: Simplify right side
   105.86x = 23,379.43
5. Step 5: Solve for x
   x = 23,379.43/105.86
6. Step 6: Final answer
   x = 220.86