Finding the Third Proportional to 82,642 and 169,640

Step by Step Solution

1. Step 1: Write the proportion equation
   82,642 : 169,640 = 169,640 : x
2. Step 2: Convert to fraction form
   82,642/169,640 = 169,640/x
3. Step 3: Cross multiply
   82,642x = 169,640 × 169,640
4. Step 4: Simplify right side
   82,642x = 28,777,729,600
5. Step 5: Solve for x
   x = 28,777,729,600/82,642
6. Step 6: Final answer
   x = 348,221.60