Finding the Third Proportional to 89.50 and 195.13

Step by Step Solution

1. Step 1: Write the proportion equation
   89.50 : 195.13 = 195.13 : x
2. Step 2: Convert to fraction form
   89.50/195.13 = 195.13/x
3. Step 3: Cross multiply
   89.50x = 195.13 × 195.13
4. Step 4: Simplify right side
   89.50x = 38,073.77
5. Step 5: Solve for x
   x = 38,073.77/89.50
6. Step 6: Final answer
   x = 425.41