Finding the Third Proportional to 94.50 and 146.02

Step by Step Solution

1. Step 1: Write the proportion equation
   94.50 : 146.02 = 146.02 : x
2. Step 2: Convert to fraction form
   94.50/146.02 = 146.02/x
3. Step 3: Cross multiply
   94.50x = 146.02 × 146.02
4. Step 4: Simplify right side
   94.50x = 21,320.56
5. Step 5: Solve for x
   x = 21,320.56/94.50
6. Step 6: Final answer
   x = 225.61