Finding the Third Proportional to 164,256 and 215,676

Step by Step Solution

1. Step 1: Write the proportion equation
   164,256 : 215,676 = 215,676 : x
2. Step 2: Convert to fraction form
   164,256/215,676 = 215,676/x
3. Step 3: Cross multiply
   164,256x = 215,676 × 215,676
4. Step 4: Simplify right side
   164,256x = 46,516,136,976
5. Step 5: Solve for x
   x = 46,516,136,976/164,256
6. Step 6: Final answer
   x = 283,192.92