Finding the Third Proportional to 78,192 and 171,936

Step by Step Solution

1. Step 1: Write the proportion equation
   78,192 : 171,936 = 171,936 : x
2. Step 2: Convert to fraction form
   78,192/171,936 = 171,936/x
3. Step 3: Cross multiply
   78,192x = 171,936 × 171,936
4. Step 4: Simplify right side
   78,192x = 29,561,988,096
5. Step 5: Solve for x
   x = 29,561,988,096/78,192
6. Step 6: Final answer
   x = 378,069.22