Finding the Third Proportional to 164,406 and 359,252

Step by Step Solution

1. Step 1: Write the proportion equation
   164,406 : 359,252 = 359,252 : x
2. Step 2: Convert to fraction form
   164,406/359,252 = 359,252/x
3. Step 3: Cross multiply
   164,406x = 359,252 × 359,252
4. Step 4: Simplify right side
   164,406x = 129,061,999,504
5. Step 5: Solve for x
   x = 129,061,999,504/164,406
6. Step 6: Final answer
   x = 785,020.01