Finding the Third Proportional to 164,096 and 353,340

Step by Step Solution

1. Step 1: Write the proportion equation
   164,096 : 353,340 = 353,340 : x
2. Step 2: Convert to fraction form
   164,096/353,340 = 353,340/x
3. Step 3: Cross multiply
   164,096x = 353,340 × 353,340
4. Step 4: Simplify right side
   164,096x = 124,849,155,600
5. Step 5: Solve for x
   x = 124,849,155,600/164,096
6. Step 6: Final answer
   x = 760,829.98