Finding the Third Proportional to 132,384 and 288,064

Step by Step Solution

1. Step 1: Write the proportion equation
   132,384 : 288,064 = 288,064 : x
2. Step 2: Convert to fraction form
   132,384/288,064 = 288,064/x
3. Step 3: Cross multiply
   132,384x = 288,064 × 288,064
4. Step 4: Simplify right side
   132,384x = 82,980,868,096
5. Step 5: Solve for x
   x = 82,980,868,096/132,384
6. Step 6: Final answer
   x = 626,819.47