Finding the Third Proportional to 193,495.50 and 410,404.50

Step by Step Solution

1. Step 1: Write the proportion equation
   193,495.50 : 410,404.50 = 410,404.50 : x
2. Step 2: Convert to fraction form
   193,495.50/410,404.50 = 410,404.50/x
3. Step 3: Cross multiply
   193,495.50x = 410,404.50 × 410,404.50
4. Step 4: Simplify right side
   193,495.50x = 168,431,853,620.25
5. Step 5: Solve for x
   x = 168,431,853,620.25/193,495.50
6. Step 6: Final answer
   x = 870,469.10