Finding the Third Proportional to 101,770 and 217,545.38

Step by Step Solution

1. Step 1: Write the proportion equation
   101,770 : 217,545.38 = 217,545.38 : x
2. Step 2: Convert to fraction form
   101,770/217,545.38 = 217,545.38/x
3. Step 3: Cross multiply
   101,770x = 217,545.38 × 217,545.38
4. Step 4: Simplify right side
   101,770x = 47,325,990,183.89
5. Step 5: Solve for x
   x = 47,325,990,183.89/101,770
6. Step 6: Final answer
   x = 465,028.89