Finding the Third Proportional to 90.66 and 145.96

Step by Step Solution

1. Step 1: Write the proportion equation
   90.66 : 145.96 = 145.96 : x
2. Step 2: Convert to fraction form
   90.66/145.96 = 145.96/x
3. Step 3: Cross multiply
   90.66x = 145.96 × 145.96
4. Step 4: Simplify right side
   90.66x = 21,303.45
5. Step 5: Solve for x
   x = 21,303.45/90.66
6. Step 6: Final answer
   x = 234.99