Finding the Third Proportional to 85.88 and 186.94

Step by Step Solution

1. Step 1: Write the proportion equation
   85.88 : 186.94 = 186.94 : x
2. Step 2: Convert to fraction form
   85.88/186.94 = 186.94/x
3. Step 3: Cross multiply
   85.88x = 186.94 × 186.94
4. Step 4: Simplify right side
   85.88x = 34,945.63
5. Step 5: Solve for x
   x = 34,945.63/85.88
6. Step 6: Final answer
   x = 406.94