Finding the Third Proportional to 89,930.25 and 194,269.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,930.25 : 194,269.50 = 194,269.50 : x
2. Step 2: Convert to fraction form
   89,930.25/194,269.50 = 194,269.50/x
3. Step 3: Cross multiply
   89,930.25x = 194,269.50 × 194,269.50
4. Step 4: Simplify right side
   89,930.25x = 37,740,638,630.25
5. Step 5: Solve for x
   x = 37,740,638,630.25/89,930.25
6. Step 6: Final answer
   x = 419,665.67