Finding the Third Proportional to 82,233 and 170,298

Step by Step Solution

1. Step 1: Write the proportion equation
   82,233 : 170,298 = 170,298 : x
2. Step 2: Convert to fraction form
   82,233/170,298 = 170,298/x
3. Step 3: Cross multiply
   82,233x = 170,298 × 170,298
4. Step 4: Simplify right side
   82,233x = 29,001,408,804
5. Step 5: Solve for x
   x = 29,001,408,804/82,233
6. Step 6: Final answer
   x = 352,673.61