Finding the Third Proportional to 89.50 and 195.16

Step by Step Solution

1. Step 1: Write the proportion equation
   89.50 : 195.16 = 195.16 : x
2. Step 2: Convert to fraction form
   89.50/195.16 = 195.16/x
3. Step 3: Cross multiply
   89.50x = 195.16 × 195.16
4. Step 4: Simplify right side
   89.50x = 38,085.96
5. Step 5: Solve for x
   x = 38,085.96/89.50
6. Step 6: Final answer
   x = 425.54