Finding the Third Proportional to 119,976 and 176,064

Step by Step Solution

1. Step 1: Write the proportion equation
   119,976 : 176,064 = 176,064 : x
2. Step 2: Convert to fraction form
   119,976/176,064 = 176,064/x
3. Step 3: Cross multiply
   119,976x = 176,064 × 176,064
4. Step 4: Simplify right side
   119,976x = 30,998,532,096
5. Step 5: Solve for x
   x = 30,998,532,096/119,976
6. Step 6: Final answer
   x = 258,372.78