Finding the Third Proportional to 164,696 and 359,510

Step by Step Solution

1. Step 1: Write the proportion equation
   164,696 : 359,510 = 359,510 : x
2. Step 2: Convert to fraction form
   164,696/359,510 = 359,510/x
3. Step 3: Cross multiply
   164,696x = 359,510 × 359,510
4. Step 4: Simplify right side
   164,696x = 129,247,440,100
5. Step 5: Solve for x
   x = 129,247,440,100/164,696
6. Step 6: Final answer
   x = 784,763.69