Finding the Third Proportional to 80,776 and 171,272

Step by Step Solution

1. Step 1: Write the proportion equation
   80,776 : 171,272 = 171,272 : x
2. Step 2: Convert to fraction form
   80,776/171,272 = 171,272/x
3. Step 3: Cross multiply
   80,776x = 171,272 × 171,272
4. Step 4: Simplify right side
   80,776x = 29,334,097,984
5. Step 5: Solve for x
   x = 29,334,097,984/80,776
6. Step 6: Final answer
   x = 363,153.63