Finding the Third Proportional to 172,992 and 380,064

Step by Step Solution

1. Step 1: Write the proportion equation
   172,992 : 380,064 = 380,064 : x
2. Step 2: Convert to fraction form
   172,992/380,064 = 380,064/x
3. Step 3: Cross multiply
   172,992x = 380,064 × 380,064
4. Step 4: Simplify right side
   172,992x = 144,448,644,096
5. Step 5: Solve for x
   x = 144,448,644,096/172,992
6. Step 6: Final answer
   x = 835,001.87