Finding the Third Proportional to 164,709 and 355,500

Step by Step Solution

1. Step 1: Write the proportion equation
   164,709 : 355,500 = 355,500 : x
2. Step 2: Convert to fraction form
   164,709/355,500 = 355,500/x
3. Step 3: Cross multiply
   164,709x = 355,500 × 355,500
4. Step 4: Simplify right side
   164,709x = 126,380,250,000
5. Step 5: Solve for x
   x = 126,380,250,000/164,709
6. Step 6: Final answer
   x = 767,294.14