Finding the Third Proportional to 164,912 and 359,450

Step by Step Solution

1. Step 1: Write the proportion equation
   164,912 : 359,450 = 359,450 : x
2. Step 2: Convert to fraction form
   164,912/359,450 = 359,450/x
3. Step 3: Cross multiply
   164,912x = 359,450 × 359,450
4. Step 4: Simplify right side
   164,912x = 129,204,302,500
5. Step 5: Solve for x
   x = 129,204,302,500/164,912
6. Step 6: Final answer
   x = 783,474.23