Finding the Third Proportional to 80,616 and 175,512

Step by Step Solution

1. Step 1: Write the proportion equation
   80,616 : 175,512 = 175,512 : x
2. Step 2: Convert to fraction form
   80,616/175,512 = 175,512/x
3. Step 3: Cross multiply
   80,616x = 175,512 × 175,512
4. Step 4: Simplify right side
   80,616x = 30,804,462,144
5. Step 5: Solve for x
   x = 30,804,462,144/80,616
6. Step 6: Final answer
   x = 382,113.50