Finding the Third Proportional to 80,789 and 172,810

Step by Step Solution

1. Step 1: Write the proportion equation
   80,789 : 172,810 = 172,810 : x
2. Step 2: Convert to fraction form
   80,789/172,810 = 172,810/x
3. Step 3: Cross multiply
   80,789x = 172,810 × 172,810
4. Step 4: Simplify right side
   80,789x = 29,863,296,100
5. Step 5: Solve for x
   x = 29,863,296,100/80,789
6. Step 6: Final answer
   x = 369,645.57