Finding the Third Proportional to 132,096 and 288,264

Step by Step Solution

1. Step 1: Write the proportion equation
   132,096 : 288,264 = 288,264 : x
2. Step 2: Convert to fraction form
   132,096/288,264 = 288,264/x
3. Step 3: Cross multiply
   132,096x = 288,264 × 288,264
4. Step 4: Simplify right side
   132,096x = 83,096,133,696
5. Step 5: Solve for x
   x = 83,096,133,696/132,096
6. Step 6: Final answer
   x = 629,058.67