Finding the Third Proportional to 78,032 and 172,936

Step by Step Solution

1. Step 1: Write the proportion equation
   78,032 : 172,936 = 172,936 : x
2. Step 2: Convert to fraction form
   78,032/172,936 = 172,936/x
3. Step 3: Cross multiply
   78,032x = 172,936 × 172,936
4. Step 4: Simplify right side
   78,032x = 29,906,860,096
5. Step 5: Solve for x
   x = 29,906,860,096/78,032
6. Step 6: Final answer
   x = 383,264.05