Finding the Third Proportional to 188,614 and 410,398

Step by Step Solution

1. Step 1: Write the proportion equation
   188,614 : 410,398 = 410,398 : x
2. Step 2: Convert to fraction form
   188,614/410,398 = 410,398/x
3. Step 3: Cross multiply
   188,614x = 410,398 × 410,398
4. Step 4: Simplify right side
   188,614x = 168,426,518,404
5. Step 5: Solve for x
   x = 168,426,518,404/188,614
6. Step 6: Final answer
   x = 892,969.34