Finding the Third Proportional to 164,550 and 359,556

Step by Step Solution

1. Step 1: Write the proportion equation
   164,550 : 359,556 = 359,556 : x
2. Step 2: Convert to fraction form
   164,550/359,556 = 359,556/x
3. Step 3: Cross multiply
   164,550x = 359,556 × 359,556
4. Step 4: Simplify right side
   164,550x = 129,280,517,136
5. Step 5: Solve for x
   x = 129,280,517,136/164,550
6. Step 6: Final answer
   x = 785,661.00