Finding the Third Proportional to 90.75 and 214.06

Step by Step Solution

1. Step 1: Write the proportion equation
   90.75 : 214.06 = 214.06 : x
2. Step 2: Convert to fraction form
   90.75/214.06 = 214.06/x
3. Step 3: Cross multiply
   90.75x = 214.06 × 214.06
4. Step 4: Simplify right side
   90.75x = 45,822.75
5. Step 5: Solve for x
   x = 45,822.75/90.75
6. Step 6: Final answer
   x = 504.93