Finding the Third Proportional to 108,083 and 172,666

Step by Step Solution

1. Step 1: Write the proportion equation
   108,083 : 172,666 = 172,666 : x
2. Step 2: Convert to fraction form
   108,083/172,666 = 172,666/x
3. Step 3: Cross multiply
   108,083x = 172,666 × 172,666
4. Step 4: Simplify right side
   108,083x = 29,813,547,556
5. Step 5: Solve for x
   x = 29,813,547,556/108,083
6. Step 6: Final answer
   x = 275,839.38