Finding the Third Proportional to 164,814 and 354,540

Step by Step Solution

1. Step 1: Write the proportion equation
   164,814 : 354,540 = 354,540 : x
2. Step 2: Convert to fraction form
   164,814/354,540 = 354,540/x
3. Step 3: Cross multiply
   164,814x = 354,540 × 354,540
4. Step 4: Simplify right side
   164,814x = 125,698,611,600
5. Step 5: Solve for x
   x = 125,698,611,600/164,814
6. Step 6: Final answer
   x = 762,669.50