Finding the Third Proportional to 164,314 and 336,398

Step by Step Solution

1. Step 1: Write the proportion equation
   164,314 : 336,398 = 336,398 : x
2. Step 2: Convert to fraction form
   164,314/336,398 = 336,398/x
3. Step 3: Cross multiply
   164,314x = 336,398 × 336,398
4. Step 4: Simplify right side
   164,314x = 113,163,614,404
5. Step 5: Solve for x
   x = 113,163,614,404/164,314
6. Step 6: Final answer
   x = 688,703.42