Finding the Third Proportional to 80,312 and 171,736

Step by Step Solution

1. Step 1: Write the proportion equation
   80,312 : 171,736 = 171,736 : x
2. Step 2: Convert to fraction form
   80,312/171,736 = 171,736/x
3. Step 3: Cross multiply
   80,312x = 171,736 × 171,736
4. Step 4: Simplify right side
   80,312x = 29,493,253,696
5. Step 5: Solve for x
   x = 29,493,253,696/80,312
6. Step 6: Final answer
   x = 367,233.46