Finding the Third Proportional to 188,433 and 410,697

Step by Step Solution

1. Step 1: Write the proportion equation
   188,433 : 410,697 = 410,697 : x
2. Step 2: Convert to fraction form
   188,433/410,697 = 410,697/x
3. Step 3: Cross multiply
   188,433x = 410,697 × 410,697
4. Step 4: Simplify right side
   188,433x = 168,672,025,809
5. Step 5: Solve for x
   x = 168,672,025,809/188,433
6. Step 6: Final answer
   x = 895,129.97