Finding the Third Proportional to 193,697.25 and 410,841

Step by Step Solution

1. Step 1: Write the proportion equation
   193,697.25 : 410,841 = 410,841 : x
2. Step 2: Convert to fraction form
   193,697.25/410,841 = 410,841/x
3. Step 3: Cross multiply
   193,697.25x = 410,841 × 410,841
4. Step 4: Simplify right side
   193,697.25x = 168,790,327,281
5. Step 5: Solve for x
   x = 168,790,327,281/193,697.25
6. Step 6: Final answer
   x = 871,413.13