Finding the Third Proportional to 82,646 and 169,648

Step by Step Solution

1. Step 1: Write the proportion equation
   82,646 : 169,648 = 169,648 : x
2. Step 2: Convert to fraction form
   82,646/169,648 = 169,648/x
3. Step 3: Cross multiply
   82,646x = 169,648 × 169,648
4. Step 4: Simplify right side
   82,646x = 28,780,443,904
5. Step 5: Solve for x
   x = 28,780,443,904/82,646
6. Step 6: Final answer
   x = 348,237.59