Finding the Third Proportional to 78.50 and 133.25

Step by Step Solution

1. Step 1: Write the proportion equation
   78.50 : 133.25 = 133.25 : x
2. Step 2: Convert to fraction form
   78.50/133.25 = 133.25/x
3. Step 3: Cross multiply
   78.50x = 133.25 × 133.25
4. Step 4: Simplify right side
   78.50x = 17,755.56
5. Step 5: Solve for x
   x = 17,755.56/78.50
6. Step 6: Final answer
   x = 226.19