Finding the Third Proportional to 80,566 and 172,792

Step by Step Solution

1. Step 1: Write the proportion equation
   80,566 : 172,792 = 172,792 : x
2. Step 2: Convert to fraction form
   80,566/172,792 = 172,792/x
3. Step 3: Cross multiply
   80,566x = 172,792 × 172,792
4. Step 4: Simplify right side
   80,566x = 29,857,075,264
5. Step 5: Solve for x
   x = 29,857,075,264/80,566
6. Step 6: Final answer
   x = 370,591.51