Finding the Third Proportional to 164,910 and 353,140

Step by Step Solution

1. Step 1: Write the proportion equation
   164,910 : 353,140 = 353,140 : x
2. Step 2: Convert to fraction form
   164,910/353,140 = 353,140/x
3. Step 3: Cross multiply
   164,910x = 353,140 × 353,140
4. Step 4: Simplify right side
   164,910x = 124,707,859,600
5. Step 5: Solve for x
   x = 124,707,859,600/164,910
6. Step 6: Final answer
   x = 756,217.69