Finding the Third Proportional to 164,256 and 215,684

Step by Step Solution

1. Step 1: Write the proportion equation
   164,256 : 215,684 = 215,684 : x
2. Step 2: Convert to fraction form
   164,256/215,684 = 215,684/x
3. Step 3: Cross multiply
   164,256x = 215,684 × 215,684
4. Step 4: Simplify right side
   164,256x = 46,519,587,856
5. Step 5: Solve for x
   x = 46,519,587,856/164,256
6. Step 6: Final answer
   x = 283,213.93