Finding the Third Proportional to 89,464.50 and 192,940.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,464.50 : 192,940.50 = 192,940.50 : x
2. Step 2: Convert to fraction form
   89,464.50/192,940.50 = 192,940.50/x
3. Step 3: Cross multiply
   89,464.50x = 192,940.50 × 192,940.50
4. Step 4: Simplify right side
   89,464.50x = 37,226,036,540.25
5. Step 5: Solve for x
   x = 37,226,036,540.25/89,464.50
6. Step 6: Final answer
   x = 416,098.41