Finding the Third Proportional to 90.94 and 138.22

Step by Step Solution

1. Step 1: Write the proportion equation
   90.94 : 138.22 = 138.22 : x
2. Step 2: Convert to fraction form
   90.94/138.22 = 138.22/x
3. Step 3: Cross multiply
   90.94x = 138.22 × 138.22
4. Step 4: Simplify right side
   90.94x = 19,104.42
5. Step 5: Solve for x
   x = 19,104.42/90.94
6. Step 6: Final answer
   x = 210.08