Finding the Third Proportional to 89,625 and 195,055

Step by Step Solution

1. Step 1: Write the proportion equation
   89,625 : 195,055 = 195,055 : x
2. Step 2: Convert to fraction form
   89,625/195,055 = 195,055/x
3. Step 3: Cross multiply
   89,625x = 195,055 × 195,055
4. Step 4: Simplify right side
   89,625x = 38,046,453,025
5. Step 5: Solve for x
   x = 38,046,453,025/89,625
6. Step 6: Final answer
   x = 424,507.15