Finding the Third Proportional to 164,011.50 and 355,225.50

Step by Step Solution

1. Step 1: Write the proportion equation
   164,011.50 : 355,225.50 = 355,225.50 : x
2. Step 2: Convert to fraction form
   164,011.50/355,225.50 = 355,225.50/x
3. Step 3: Cross multiply
   164,011.50x = 355,225.50 × 355,225.50
4. Step 4: Simplify right side
   164,011.50x = 126,185,155,850.25
5. Step 5: Solve for x
   x = 126,185,155,850.25/164,011.50
6. Step 6: Final answer
   x = 769,367.73