Finding the Third Proportional to 216,096 and 323,264

Step by Step Solution

1. Step 1: Write the proportion equation
   216,096 : 323,264 = 323,264 : x
2. Step 2: Convert to fraction form
   216,096/323,264 = 323,264/x
3. Step 3: Cross multiply
   216,096x = 323,264 × 323,264
4. Step 4: Simplify right side
   216,096x = 104,499,613,696
5. Step 5: Solve for x
   x = 104,499,613,696/216,096
6. Step 6: Final answer
   x = 483,579.58