Finding the Third Proportional to 41.77 and 90.18

Step by Step Solution

1. Step 1: Write the proportion equation
   41.77 : 90.18 = 90.18 : x
2. Step 2: Convert to fraction form
   41.77/90.18 = 90.18/x
3. Step 3: Cross multiply
   41.77x = 90.18 × 90.18
4. Step 4: Simplify right side
   41.77x = 8,131.67
5. Step 5: Solve for x
   x = 8,131.67/41.77
6. Step 6: Final answer
   x = 194.70