Finding the Third Proportional to 132,096 and 288,336

Step by Step Solution

1. Step 1: Write the proportion equation
   132,096 : 288,336 = 288,336 : x
2. Step 2: Convert to fraction form
   132,096/288,336 = 288,336/x
3. Step 3: Cross multiply
   132,096x = 288,336 × 288,336
4. Step 4: Simplify right side
   132,096x = 83,137,648,896
5. Step 5: Solve for x
   x = 83,137,648,896/132,096
6. Step 6: Final answer
   x = 629,372.95