Finding the Third Proportional to 89,993.50 and 194,418.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,993.50 : 194,418.50 = 194,418.50 : x
2. Step 2: Convert to fraction form
   89,993.50/194,418.50 = 194,418.50/x
3. Step 3: Cross multiply
   89,993.50x = 194,418.50 × 194,418.50
4. Step 4: Simplify right side
   89,993.50x = 37,798,553,142.25
5. Step 5: Solve for x
   x = 37,798,553,142.25/89,993.50
6. Step 6: Final answer
   x = 420,014.26