Finding the Third Proportional to 165,868.50 and 355,401

Step by Step Solution

1. Step 1: Write the proportion equation
   165,868.50 : 355,401 = 355,401 : x
2. Step 2: Convert to fraction form
   165,868.50/355,401 = 355,401/x
3. Step 3: Cross multiply
   165,868.50x = 355,401 × 355,401
4. Step 4: Simplify right side
   165,868.50x = 126,309,870,801
5. Step 5: Solve for x
   x = 126,309,870,801/165,868.50
6. Step 6: Final answer
   x = 761,506.08