Finding the Third Proportional to 90.28 and 188.16

Step by Step Solution

1. Step 1: Write the proportion equation
   90.28 : 188.16 = 188.16 : x
2. Step 2: Convert to fraction form
   90.28/188.16 = 188.16/x
3. Step 3: Cross multiply
   90.28x = 188.16 × 188.16
4. Step 4: Simplify right side
   90.28x = 35,402.77
5. Step 5: Solve for x
   x = 35,402.77/90.28
6. Step 6: Final answer
   x = 392.14