Finding the Third Proportional to 192,945 and 413,578.50

Step by Step Solution

1. Step 1: Write the proportion equation
   192,945 : 413,578.50 = 413,578.50 : x
2. Step 2: Convert to fraction form
   192,945/413,578.50 = 413,578.50/x
3. Step 3: Cross multiply
   192,945x = 413,578.50 × 413,578.50
4. Step 4: Simplify right side
   192,945x = 171,047,175,662.25
5. Step 5: Solve for x
   x = 171,047,175,662.25/192,945
6. Step 6: Final answer
   x = 886,507.43