Finding the Third Proportional to 164,584.50 and 214,993.50

Step by Step Solution

1. Step 1: Write the proportion equation
   164,584.50 : 214,993.50 = 214,993.50 : x
2. Step 2: Convert to fraction form
   164,584.50/214,993.50 = 214,993.50/x
3. Step 3: Cross multiply
   164,584.50x = 214,993.50 × 214,993.50
4. Step 4: Simplify right side
   164,584.50x = 46,222,205,042.25
5. Step 5: Solve for x
   x = 46,222,205,042.25/164,584.50
6. Step 6: Final answer
   x = 280,841.79