Finding the Third Proportional to 78,832 and 171,272

Step by Step Solution

1. Step 1: Write the proportion equation
   78,832 : 171,272 = 171,272 : x
2. Step 2: Convert to fraction form
   78,832/171,272 = 171,272/x
3. Step 3: Cross multiply
   78,832x = 171,272 × 171,272
4. Step 4: Simplify right side
   78,832x = 29,334,097,984
5. Step 5: Solve for x
   x = 29,334,097,984/78,832
6. Step 6: Final answer
   x = 372,109.02