Finding the Third Proportional to 92.50 and 123.25

Step by Step Solution

1. Step 1: Write the proportion equation
   92.50 : 123.25 = 123.25 : x
2. Step 2: Convert to fraction form
   92.50/123.25 = 123.25/x
3. Step 3: Cross multiply
   92.50x = 123.25 × 123.25
4. Step 4: Simplify right side
   92.50x = 15,190.56
5. Step 5: Solve for x
   x = 15,190.56/92.50
6. Step 6: Final answer
   x = 164.22