Finding the Third Proportional to 80,614 and 172,880

Step by Step Solution

1. Step 1: Write the proportion equation
   80,614 : 172,880 = 172,880 : x
2. Step 2: Convert to fraction form
   80,614/172,880 = 172,880/x
3. Step 3: Cross multiply
   80,614x = 172,880 × 172,880
4. Step 4: Simplify right side
   80,614x = 29,887,494,400
5. Step 5: Solve for x
   x = 29,887,494,400/80,614
6. Step 6: Final answer
   x = 370,748.19