Finding the Third Proportional to 140,320 and 214,656

Step by Step Solution

1. Step 1: Write the proportion equation
   140,320 : 214,656 = 214,656 : x
2. Step 2: Convert to fraction form
   140,320/214,656 = 214,656/x
3. Step 3: Cross multiply
   140,320x = 214,656 × 214,656
4. Step 4: Simplify right side
   140,320x = 46,077,198,336
5. Step 5: Solve for x
   x = 46,077,198,336/140,320
6. Step 6: Final answer
   x = 328,372.28