Finding the Third Proportional to 105.88 and 214.75

Step by Step Solution

1. Step 1: Write the proportion equation
   105.88 : 214.75 = 214.75 : x
2. Step 2: Convert to fraction form
   105.88/214.75 = 214.75/x
3. Step 3: Cross multiply
   105.88x = 214.75 × 214.75
4. Step 4: Simplify right side
   105.88x = 46,117.56
5. Step 5: Solve for x
   x = 46,117.56/105.88
6. Step 6: Final answer
   x = 435.59