Finding the Third Proportional to 190.69 and 418.31

Step by Step Solution

1. Step 1: Write the proportion equation
   190.69 : 418.31 = 418.31 : x
2. Step 2: Convert to fraction form
   190.69/418.31 = 418.31/x
3. Step 3: Cross multiply
   190.69x = 418.31 × 418.31
4. Step 4: Simplify right side
   190.69x = 174,985.35
5. Step 5: Solve for x
   x = 174,985.35/190.69
6. Step 6: Final answer
   x = 917.66