Finding the Third Proportional to 81,930 and 172,104

Step by Step Solution

1. Step 1: Write the proportion equation
   81,930 : 172,104 = 172,104 : x
2. Step 2: Convert to fraction form
   81,930/172,104 = 172,104/x
3. Step 3: Cross multiply
   81,930x = 172,104 × 172,104
4. Step 4: Simplify right side
   81,930x = 29,619,786,816
5. Step 5: Solve for x
   x = 29,619,786,816/81,930
6. Step 6: Final answer
   x = 361,525.53