Finding the Third Proportional to 144,321 and 214,942.50

Step by Step Solution

1. Step 1: Write the proportion equation
   144,321 : 214,942.50 = 214,942.50 : x
2. Step 2: Convert to fraction form
   144,321/214,942.50 = 214,942.50/x
3. Step 3: Cross multiply
   144,321x = 214,942.50 × 214,942.50
4. Step 4: Simplify right side
   144,321x = 46,200,278,306.25
5. Step 5: Solve for x
   x = 46,200,278,306.25/144,321
6. Step 6: Final answer
   x = 320,121.66